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Finding the Fourth Proportional to 1,300.71, 1,951.19 and 478.79

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Solution

The fourth proportional to 1,300.71, 1,951.19 and 478.79 is: 718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.71 : 1,951.19 = 478.79 : x
  2. Step 2: Convert to fraction form
    1,300.71/1,951.19 = 478.79/x
  3. Step 3: Cross multiply
    1,300.71x = 1,951.19 × 478.79
  4. Step 4: Simplify right side
    1,300.71x = 934,210.26
  5. Step 5: Solve for x
    x = 934,210.26/1,300.71
  6. Step 6: Final answer
    x = 718.23

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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.