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Finding the Fourth Proportional to 1,126.97, 1,691.67 and 946.34

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Solution

The fourth proportional to 1,126.97, 1,691.67 and 946.34 is: 1,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.97 : 1,691.67 = 946.34 : x
  2. Step 2: Convert to fraction form
    1,126.97/1,691.67 = 946.34/x
  3. Step 3: Cross multiply
    1,126.97x = 1,691.67 × 946.34
  4. Step 4: Simplify right side
    1,126.97x = 1,600,881.80
  5. Step 5: Solve for x
    x = 1,600,881.80/1,126.97
  6. Step 6: Final answer
    x = 1,420.52

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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.