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Finding the Fourth Proportional to 989.55, 1,476.56 and 902.24

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Solution

The fourth proportional to 989.55, 1,476.56 and 902.24 is: 1,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.55 : 1,476.56 = 902.24 : x
  2. Step 2: Convert to fraction form
    989.55/1,476.56 = 902.24/x
  3. Step 3: Cross multiply
    989.55x = 1,476.56 × 902.24
  4. Step 4: Simplify right side
    989.55x = 1,332,211.90
  5. Step 5: Solve for x
    x = 1,332,211.90/989.55
  6. Step 6: Final answer
    x = 1,346.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.