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Finding the Fourth Proportional to 861.32, 1,189.10 and 567.07

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Solution

The fourth proportional to 861.32, 1,189.10 and 567.07 is: 782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.32 : 1,189.10 = 567.07 : x
  2. Step 2: Convert to fraction form
    861.32/1,189.10 = 567.07/x
  3. Step 3: Cross multiply
    861.32x = 1,189.10 × 567.07
  4. Step 4: Simplify right side
    861.32x = 674,301.38
  5. Step 5: Solve for x
    x = 674,301.38/861.32
  6. Step 6: Final answer
    x = 782.87

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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.