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Finding the Fourth Proportional to 567.20, 781.88 and 427.79

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Solution

The fourth proportional to 567.20, 781.88 and 427.79 is: 589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.20 : 781.88 = 427.79 : x
  2. Step 2: Convert to fraction form
    567.20/781.88 = 427.79/x
  3. Step 3: Cross multiply
    567.20x = 781.88 × 427.79
  4. Step 4: Simplify right side
    567.20x = 334,474.40
  5. Step 5: Solve for x
    x = 334,474.40/567.20
  6. Step 6: Final answer
    x = 589.69

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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.