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Finding the Fourth Proportional to 567.97, 845.49 and 564.88

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Solution

The fourth proportional to 567.97, 845.49 and 564.88 is: 840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.97 : 845.49 = 564.88 : x
  2. Step 2: Convert to fraction form
    567.97/845.49 = 564.88/x
  3. Step 3: Cross multiply
    567.97x = 845.49 × 564.88
  4. Step 4: Simplify right side
    567.97x = 477,598.80
  5. Step 5: Solve for x
    x = 477,598.80/567.97
  6. Step 6: Final answer
    x = 840.89

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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.