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Finding the Fourth Proportional to 1,139.84, 1,573.26 and 674

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Solution

The fourth proportional to 1,139.84, 1,573.26 and 674 is: 930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.84 : 1,573.26 = 674 : x
  2. Step 2: Convert to fraction form
    1,139.84/1,573.26 = 674/x
  3. Step 3: Cross multiply
    1,139.84x = 1,573.26 × 674
  4. Step 4: Simplify right side
    1,139.84x = 1,060,377.24
  5. Step 5: Solve for x
    x = 1,060,377.24/1,139.84
  6. Step 6: Final answer
    x = 930.29

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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.