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Finding the Fourth Proportional to 883.17, 1,324.49 and 420.71

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Solution

The fourth proportional to 883.17, 1,324.49 and 420.71 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.17 : 1,324.49 = 420.71 : x
  2. Step 2: Convert to fraction form
    883.17/1,324.49 = 420.71/x
  3. Step 3: Cross multiply
    883.17x = 1,324.49 × 420.71
  4. Step 4: Simplify right side
    883.17x = 557,217.46
  5. Step 5: Solve for x
    x = 557,217.46/883.17
  6. Step 6: Final answer
    x = 630.93

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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.