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Finding the Fourth Proportional to 801.71, 1,203.24 and 315.10

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Solution

The fourth proportional to 801.71, 1,203.24 and 315.10 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.71 : 1,203.24 = 315.10 : x
  2. Step 2: Convert to fraction form
    801.71/1,203.24 = 315.10/x
  3. Step 3: Cross multiply
    801.71x = 1,203.24 × 315.10
  4. Step 4: Simplify right side
    801.71x = 379,137.92
  5. Step 5: Solve for x
    x = 379,137.92/801.71
  6. Step 6: Final answer
    x = 472.91

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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.