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Finding the Fourth Proportional to 879.13, 1,318.52 and 468.38

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Solution

The fourth proportional to 879.13, 1,318.52 and 468.38 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.13 : 1,318.52 = 468.38 : x
  2. Step 2: Convert to fraction form
    879.13/1,318.52 = 468.38/x
  3. Step 3: Cross multiply
    879.13x = 1,318.52 × 468.38
  4. Step 4: Simplify right side
    879.13x = 617,572.86
  5. Step 5: Solve for x
    x = 617,572.86/879.13
  6. Step 6: Final answer
    x = 702.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.