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Finding the Fourth Proportional to 843.47, 1,264.39 and 410.39

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Solution

The fourth proportional to 843.47, 1,264.39 and 410.39 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.47 : 1,264.39 = 410.39 : x
  2. Step 2: Convert to fraction form
    843.47/1,264.39 = 410.39/x
  3. Step 3: Cross multiply
    843.47x = 1,264.39 × 410.39
  4. Step 4: Simplify right side
    843.47x = 518,893.01
  5. Step 5: Solve for x
    x = 518,893.01/843.47
  6. Step 6: Final answer
    x = 615.19

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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.