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Finding the Fourth Proportional to 527.48, 790.31 and 284.18

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Solution

The fourth proportional to 527.48, 790.31 and 284.18 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 790.31 = 284.18 : x
  2. Step 2: Convert to fraction form
    527.48/790.31 = 284.18/x
  3. Step 3: Cross multiply
    527.48x = 790.31 × 284.18
  4. Step 4: Simplify right side
    527.48x = 224,585.46
  5. Step 5: Solve for x
    x = 224,585.46/527.48
  6. Step 6: Final answer
    x = 425.77

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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.