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Finding the Fourth Proportional to 959.68, 1,440.54 and 807.28

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Solution

The fourth proportional to 959.68, 1,440.54 and 807.28 is: 1,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.68 : 1,440.54 = 807.28 : x
  2. Step 2: Convert to fraction form
    959.68/1,440.54 = 807.28/x
  3. Step 3: Cross multiply
    959.68x = 1,440.54 × 807.28
  4. Step 4: Simplify right side
    959.68x = 1,162,919.13
  5. Step 5: Solve for x
    x = 1,162,919.13/959.68
  6. Step 6: Final answer
    x = 1,211.78

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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.