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Finding the Fourth Proportional to 527.92, 728.57 and 331.38

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Solution

The fourth proportional to 527.92, 728.57 and 331.38 is: 457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 728.57 = 331.38 : x
  2. Step 2: Convert to fraction form
    527.92/728.57 = 331.38/x
  3. Step 3: Cross multiply
    527.92x = 728.57 × 331.38
  4. Step 4: Simplify right side
    527.92x = 241,434.36
  5. Step 5: Solve for x
    x = 241,434.36/527.92
  6. Step 6: Final answer
    x = 457.33

Related Problems

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Half scale
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Double scale
Find fourth proportional to 528.92, 729.95 and 332.38
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.