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Finding the Fourth Proportional to 567.97, 782.26 and 469.69

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Solution

The fourth proportional to 567.97, 782.26 and 469.69 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.97 : 782.26 = 469.69 : x
  2. Step 2: Convert to fraction form
    567.97/782.26 = 469.69/x
  3. Step 3: Cross multiply
    567.97x = 782.26 × 469.69
  4. Step 4: Simplify right side
    567.97x = 367,419.70
  5. Step 5: Solve for x
    x = 367,419.70/567.97
  6. Step 6: Final answer
    x = 646.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.