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Finding the Fourth Proportional to 959.71, 1,439.76 and 520.94

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Solution

The fourth proportional to 959.71, 1,439.76 and 520.94 is: 781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.71 : 1,439.76 = 520.94 : x
  2. Step 2: Convert to fraction form
    959.71/1,439.76 = 520.94/x
  3. Step 3: Cross multiply
    959.71x = 1,439.76 × 520.94
  4. Step 4: Simplify right side
    959.71x = 750,028.57
  5. Step 5: Solve for x
    x = 750,028.57/959.71
  6. Step 6: Final answer
    x = 781.52

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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.