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Finding the Fourth Proportional to 902.90, 1,246.03 and 553.52

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Solution

The fourth proportional to 902.90, 1,246.03 and 553.52 is: 763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.90 : 1,246.03 = 553.52 : x
  2. Step 2: Convert to fraction form
    902.90/1,246.03 = 553.52/x
  3. Step 3: Cross multiply
    902.90x = 1,246.03 × 553.52
  4. Step 4: Simplify right side
    902.90x = 689,702.53
  5. Step 5: Solve for x
    x = 689,702.53/902.90
  6. Step 6: Final answer
    x = 763.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.