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Finding the Fourth Proportional to 873.97, 1,309.89 and 411.14

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Solution

The fourth proportional to 873.97, 1,309.89 and 411.14 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.97 : 1,309.89 = 411.14 : x
  2. Step 2: Convert to fraction form
    873.97/1,309.89 = 411.14/x
  3. Step 3: Cross multiply
    873.97x = 1,309.89 × 411.14
  4. Step 4: Simplify right side
    873.97x = 538,548.17
  5. Step 5: Solve for x
    x = 538,548.17/873.97
  6. Step 6: Final answer
    x = 616.21

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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.