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Finding the Fourth Proportional to 527.72, 790.61 and 476.69

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Solution

The fourth proportional to 527.72, 790.61 and 476.69 is: 714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 790.61 = 476.69 : x
  2. Step 2: Convert to fraction form
    527.72/790.61 = 476.69/x
  3. Step 3: Cross multiply
    527.72x = 790.61 × 476.69
  4. Step 4: Simplify right side
    527.72x = 376,869.54
  5. Step 5: Solve for x
    x = 376,869.54/527.72
  6. Step 6: Final answer
    x = 714.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.