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Finding the Fourth Proportional to 1,301.02, 1,951.20 and 479.38

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Solution

The fourth proportional to 1,301.02, 1,951.20 and 479.38 is: 718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.02 : 1,951.20 = 479.38 : x
  2. Step 2: Convert to fraction form
    1,301.02/1,951.20 = 479.38/x
  3. Step 3: Cross multiply
    1,301.02x = 1,951.20 × 479.38
  4. Step 4: Simplify right side
    1,301.02x = 935,366.26
  5. Step 5: Solve for x
    x = 935,366.26/1,301.02
  6. Step 6: Final answer
    x = 718.95

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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.