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Finding the Fourth Proportional to 900.52, 1,350.42 and 625.96

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Solution

The fourth proportional to 900.52, 1,350.42 and 625.96 is: 938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.52 : 1,350.42 = 625.96 : x
  2. Step 2: Convert to fraction form
    900.52/1,350.42 = 625.96/x
  3. Step 3: Cross multiply
    900.52x = 1,350.42 × 625.96
  4. Step 4: Simplify right side
    900.52x = 845,308.90
  5. Step 5: Solve for x
    x = 845,308.90/900.52
  6. Step 6: Final answer
    x = 938.69

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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.