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Finding the Fourth Proportional to 562.49, 839.94 and 459.98

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Solution

The fourth proportional to 562.49, 839.94 and 459.98 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.49 : 839.94 = 459.98 : x
  2. Step 2: Convert to fraction form
    562.49/839.94 = 459.98/x
  3. Step 3: Cross multiply
    562.49x = 839.94 × 459.98
  4. Step 4: Simplify right side
    562.49x = 386,355.60
  5. Step 5: Solve for x
    x = 386,355.60/562.49
  6. Step 6: Final answer
    x = 686.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.