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Finding the Fourth Proportional to 562.12, 842.90 and 318.46

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Solution

The fourth proportional to 562.12, 842.90 and 318.46 is: 477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 842.90 = 318.46 : x
  2. Step 2: Convert to fraction form
    562.12/842.90 = 318.46/x
  3. Step 3: Cross multiply
    562.12x = 842.90 × 318.46
  4. Step 4: Simplify right side
    562.12x = 268,429.93
  5. Step 5: Solve for x
    x = 268,429.93/562.12
  6. Step 6: Final answer
    x = 477.53

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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.