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Finding the Fourth Proportional to 764.31, 1,054.68 and 432.75

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Solution

The fourth proportional to 764.31, 1,054.68 and 432.75 is: 597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.31 : 1,054.68 = 432.75 : x
  2. Step 2: Convert to fraction form
    764.31/1,054.68 = 432.75/x
  3. Step 3: Cross multiply
    764.31x = 1,054.68 × 432.75
  4. Step 4: Simplify right side
    764.31x = 456,412.77
  5. Step 5: Solve for x
    x = 456,412.77/764.31
  6. Step 6: Final answer
    x = 597.16

Related Problems

Find fourth proportional to 382.16, 527.34 and 216.38
Half scale
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Double scale
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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.