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Finding the Fourth Proportional to 865.08, 1,294.51 and 807.15

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Solution

The fourth proportional to 865.08, 1,294.51 and 807.15 is: 1,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.08 : 1,294.51 = 807.15 : x
  2. Step 2: Convert to fraction form
    865.08/1,294.51 = 807.15/x
  3. Step 3: Cross multiply
    865.08x = 1,294.51 × 807.15
  4. Step 4: Simplify right side
    865.08x = 1,044,863.75
  5. Step 5: Solve for x
    x = 1,044,863.75/865.08
  6. Step 6: Final answer
    x = 1,207.82

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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.