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Finding the Fourth Proportional to 567.78, 844.55 and 547.80

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Solution

The fourth proportional to 567.78, 844.55 and 547.80 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 844.55 = 547.80 : x
  2. Step 2: Convert to fraction form
    567.78/844.55 = 547.80/x
  3. Step 3: Cross multiply
    567.78x = 844.55 × 547.80
  4. Step 4: Simplify right side
    567.78x = 462,641.75
  5. Step 5: Solve for x
    x = 462,641.75/567.78
  6. Step 6: Final answer
    x = 814.83

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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.