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Finding the Fourth Proportional to 567.10, 781.85 and 456.84

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Solution

The fourth proportional to 567.10, 781.85 and 456.84 is: 629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.10 : 781.85 = 456.84 : x
  2. Step 2: Convert to fraction form
    567.10/781.85 = 456.84/x
  3. Step 3: Cross multiply
    567.10x = 781.85 × 456.84
  4. Step 4: Simplify right side
    567.10x = 357,181.50
  5. Step 5: Solve for x
    x = 357,181.50/567.10
  6. Step 6: Final answer
    x = 629.84

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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.