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Finding the Fourth Proportional to 527.56, 790.24 and 424.29

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Solution

The fourth proportional to 527.56, 790.24 and 424.29 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 790.24 = 424.29 : x
  2. Step 2: Convert to fraction form
    527.56/790.24 = 424.29/x
  3. Step 3: Cross multiply
    527.56x = 790.24 × 424.29
  4. Step 4: Simplify right side
    527.56x = 335,285.92
  5. Step 5: Solve for x
    x = 335,285.92/527.56
  6. Step 6: Final answer
    x = 635.54

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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.