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Finding the Fourth Proportional to 848.71, 1,274.15 and 721.27

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Solution

The fourth proportional to 848.71, 1,274.15 and 721.27 is: 1,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.71 : 1,274.15 = 721.27 : x
  2. Step 2: Convert to fraction form
    848.71/1,274.15 = 721.27/x
  3. Step 3: Cross multiply
    848.71x = 1,274.15 × 721.27
  4. Step 4: Simplify right side
    848.71x = 919,006.17
  5. Step 5: Solve for x
    x = 919,006.17/848.71
  6. Step 6: Final answer
    x = 1,082.83

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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.