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Finding the Fourth Proportional to 959.75, 1,439.97 and 473.15

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Solution

The fourth proportional to 959.75, 1,439.97 and 473.15 is: 709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.75 : 1,439.97 = 473.15 : x
  2. Step 2: Convert to fraction form
    959.75/1,439.97 = 473.15/x
  3. Step 3: Cross multiply
    959.75x = 1,439.97 × 473.15
  4. Step 4: Simplify right side
    959.75x = 681,312.24
  5. Step 5: Solve for x
    x = 681,312.24/959.75
  6. Step 6: Final answer
    x = 709.89

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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.