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Finding the Fourth Proportional to 764.23, 1,054.71 and 432.76

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Solution

The fourth proportional to 764.23, 1,054.71 and 432.76 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.23 : 1,054.71 = 432.76 : x
  2. Step 2: Convert to fraction form
    764.23/1,054.71 = 432.76/x
  3. Step 3: Cross multiply
    764.23x = 1,054.71 × 432.76
  4. Step 4: Simplify right side
    764.23x = 456,436.30
  5. Step 5: Solve for x
    x = 456,436.30/764.23
  6. Step 6: Final answer
    x = 597.25

Related Problems

Find fourth proportional to 382.12, 527.36 and 216.38
Half scale
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Double scale
Find fourth proportional to 765.23, 1,056.09 and 433.76
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.