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Finding the Fourth Proportional to 874.20, 1,310.14 and 325.83

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Solution

The fourth proportional to 874.20, 1,310.14 and 325.83 is: 488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.20 : 1,310.14 = 325.83 : x
  2. Step 2: Convert to fraction form
    874.20/1,310.14 = 325.83/x
  3. Step 3: Cross multiply
    874.20x = 1,310.14 × 325.83
  4. Step 4: Simplify right side
    874.20x = 426,882.10
  5. Step 5: Solve for x
    x = 426,882.10/874.20
  6. Step 6: Final answer
    x = 488.31

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Double scale
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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.