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Finding the Fourth Proportional to 862.16, 1,189.82 and 469.17

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Solution

The fourth proportional to 862.16, 1,189.82 and 469.17 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.16 : 1,189.82 = 469.17 : x
  2. Step 2: Convert to fraction form
    862.16/1,189.82 = 469.17/x
  3. Step 3: Cross multiply
    862.16x = 1,189.82 × 469.17
  4. Step 4: Simplify right side
    862.16x = 558,229.02
  5. Step 5: Solve for x
    x = 558,229.02/862.16
  6. Step 6: Final answer
    x = 647.48

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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.