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Finding the Fourth Proportional to 562.68, 842.18 and 459.12

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Solution

The fourth proportional to 562.68, 842.18 and 459.12 is: 687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 842.18 = 459.12 : x
  2. Step 2: Convert to fraction form
    562.68/842.18 = 459.12/x
  3. Step 3: Cross multiply
    562.68x = 842.18 × 459.12
  4. Step 4: Simplify right side
    562.68x = 386,661.68
  5. Step 5: Solve for x
    x = 386,661.68/562.68
  6. Step 6: Final answer
    x = 687.18

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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.