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Finding the Fourth Proportional to 1,143.72, 1,577.70 and 770.76

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Solution

The fourth proportional to 1,143.72, 1,577.70 and 770.76 is: 1,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.72 : 1,577.70 = 770.76 : x
  2. Step 2: Convert to fraction form
    1,143.72/1,577.70 = 770.76/x
  3. Step 3: Cross multiply
    1,143.72x = 1,577.70 × 770.76
  4. Step 4: Simplify right side
    1,143.72x = 1,216,028.05
  5. Step 5: Solve for x
    x = 1,216,028.05/1,143.72
  6. Step 6: Final answer
    x = 1,063.22

Related Problems

Find fourth proportional to 571.86, 788.85 and 385.38
Half scale
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Double scale
Find fourth proportional to 1,144.72, 1,579.08 and 771.76
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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.