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Finding the Fourth Proportional to 567.70, 782.56 and 428.28

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Solution

The fourth proportional to 567.70, 782.56 and 428.28 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.70 : 782.56 = 428.28 : x
  2. Step 2: Convert to fraction form
    567.70/782.56 = 428.28/x
  3. Step 3: Cross multiply
    567.70x = 782.56 × 428.28
  4. Step 4: Simplify right side
    567.70x = 335,154.80
  5. Step 5: Solve for x
    x = 335,154.80/567.70
  6. Step 6: Final answer
    x = 590.37

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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.