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Finding the Fourth Proportional to 527.99, 728.66 and 331.70

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Solution

The fourth proportional to 527.99, 728.66 and 331.70 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.99 : 728.66 = 331.70 : x
  2. Step 2: Convert to fraction form
    527.99/728.66 = 331.70/x
  3. Step 3: Cross multiply
    527.99x = 728.66 × 331.70
  4. Step 4: Simplify right side
    527.99x = 241,693.71
  5. Step 5: Solve for x
    x = 241,693.71/527.99
  6. Step 6: Final answer
    x = 457.77

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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.