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Finding the Fourth Proportional to 527.92, 726.77 and 462.31

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Solution

The fourth proportional to 527.92, 726.77 and 462.31 is: 636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 726.77 = 462.31 : x
  2. Step 2: Convert to fraction form
    527.92/726.77 = 462.31/x
  3. Step 3: Cross multiply
    527.92x = 726.77 × 462.31
  4. Step 4: Simplify right side
    527.92x = 335,992.38
  5. Step 5: Solve for x
    x = 335,992.38/527.92
  6. Step 6: Final answer
    x = 636.45

Related Problems

Find fourth proportional to 263.96, 363.39 and 231.15
Half scale
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Double scale
Find fourth proportional to 528.92, 728.15 and 463.31
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.