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Finding the Fourth Proportional to 926.57, 1,272.21 and 902.49

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Solution

The fourth proportional to 926.57, 1,272.21 and 902.49 is: 1,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.57 : 1,272.21 = 902.49 : x
  2. Step 2: Convert to fraction form
    926.57/1,272.21 = 902.49/x
  3. Step 3: Cross multiply
    926.57x = 1,272.21 × 902.49
  4. Step 4: Simplify right side
    926.57x = 1,148,155.80
  5. Step 5: Solve for x
    x = 1,148,155.80/926.57
  6. Step 6: Final answer
    x = 1,239.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.