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Finding the Fourth Proportional to 567.44, 781.46 and 442.88

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Solution

The fourth proportional to 567.44, 781.46 and 442.88 is: 609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.44 : 781.46 = 442.88 : x
  2. Step 2: Convert to fraction form
    567.44/781.46 = 442.88/x
  3. Step 3: Cross multiply
    567.44x = 781.46 × 442.88
  4. Step 4: Simplify right side
    567.44x = 346,093.00
  5. Step 5: Solve for x
    x = 346,093.00/567.44
  6. Step 6: Final answer
    x = 609.92

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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.