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Finding the Fourth Proportional to 902.57, 1,353.53 and 463.34

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Solution

The fourth proportional to 902.57, 1,353.53 and 463.34 is: 694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.57 : 1,353.53 = 463.34 : x
  2. Step 2: Convert to fraction form
    902.57/1,353.53 = 463.34/x
  3. Step 3: Cross multiply
    902.57x = 1,353.53 × 463.34
  4. Step 4: Simplify right side
    902.57x = 627,149.13
  5. Step 5: Solve for x
    x = 627,149.13/902.57
  6. Step 6: Final answer
    x = 694.85

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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.