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Finding the Fourth Proportional to 562.48, 839.46 and 547.90

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Solution

The fourth proportional to 562.48, 839.46 and 547.90 is: 817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.48 : 839.46 = 547.90 : x
  2. Step 2: Convert to fraction form
    562.48/839.46 = 547.90/x
  3. Step 3: Cross multiply
    562.48x = 839.46 × 547.90
  4. Step 4: Simplify right side
    562.48x = 459,937.39
  5. Step 5: Solve for x
    x = 459,937.39/562.48
  6. Step 6: Final answer
    x = 817.70

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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.