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Finding the Fourth Proportional to 900.31, 1,242.42 and 501.97

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Solution

The fourth proportional to 900.31, 1,242.42 and 501.97 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.31 : 1,242.42 = 501.97 : x
  2. Step 2: Convert to fraction form
    900.31/1,242.42 = 501.97/x
  3. Step 3: Cross multiply
    900.31x = 1,242.42 × 501.97
  4. Step 4: Simplify right side
    900.31x = 623,657.57
  5. Step 5: Solve for x
    x = 623,657.57/900.31
  6. Step 6: Final answer
    x = 692.71

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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.