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Finding the Fourth Proportional to 562.79, 780.62 and 547.80

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Solution

The fourth proportional to 562.79, 780.62 and 547.80 is: 759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.79 : 780.62 = 547.80 : x
  2. Step 2: Convert to fraction form
    562.79/780.62 = 547.80/x
  3. Step 3: Cross multiply
    562.79x = 780.62 × 547.80
  4. Step 4: Simplify right side
    562.79x = 427,620.90
  5. Step 5: Solve for x
    x = 427,620.90/562.79
  6. Step 6: Final answer
    x = 759.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.