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Finding the Fourth Proportional to 902.40, 1,353.57 and 491.43

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Solution

The fourth proportional to 902.40, 1,353.57 and 491.43 is: 737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.40 : 1,353.57 = 491.43 : x
  2. Step 2: Convert to fraction form
    902.40/1,353.57 = 491.43/x
  3. Step 3: Cross multiply
    902.40x = 1,353.57 × 491.43
  4. Step 4: Simplify right side
    902.40x = 665,184.91
  5. Step 5: Solve for x
    x = 665,184.91/902.40
  6. Step 6: Final answer
    x = 737.13

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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.