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Finding the Fourth Proportional to 889.24, 1,224.52 and 764.76

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Solution

The fourth proportional to 889.24, 1,224.52 and 764.76 is: 1,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.24 : 1,224.52 = 764.76 : x
  2. Step 2: Convert to fraction form
    889.24/1,224.52 = 764.76/x
  3. Step 3: Cross multiply
    889.24x = 1,224.52 × 764.76
  4. Step 4: Simplify right side
    889.24x = 936,463.92
  5. Step 5: Solve for x
    x = 936,463.92/889.24
  6. Step 6: Final answer
    x = 1,053.11

Related Problems

Find fourth proportional to 444.62, 612.26 and 382.38
Half scale
Find fourth proportional to 1,778.48, 2,449.04 and 1,529.52
Double scale
Find fourth proportional to 890.24, 1,225.90 and 765.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.