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Finding the Fourth Proportional to 902.01, 1,349.64 and 642.61

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Solution

The fourth proportional to 902.01, 1,349.64 and 642.61 is: 961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.01 : 1,349.64 = 642.61 : x
  2. Step 2: Convert to fraction form
    902.01/1,349.64 = 642.61/x
  3. Step 3: Cross multiply
    902.01x = 1,349.64 × 642.61
  4. Step 4: Simplify right side
    902.01x = 867,292.16
  5. Step 5: Solve for x
    x = 867,292.16/902.01
  6. Step 6: Final answer
    x = 961.51

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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.