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Finding the Fourth Proportional to 562.06, 842.40 and 459.55

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Solution

The fourth proportional to 562.06, 842.40 and 459.55 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.06 : 842.40 = 459.55 : x
  2. Step 2: Convert to fraction form
    562.06/842.40 = 459.55/x
  3. Step 3: Cross multiply
    562.06x = 842.40 × 459.55
  4. Step 4: Simplify right side
    562.06x = 387,124.92
  5. Step 5: Solve for x
    x = 387,124.92/562.06
  6. Step 6: Final answer
    x = 688.76

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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.