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Finding the Fourth Proportional to 690.26, 1,029.73 and 671.42

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Solution

The fourth proportional to 690.26, 1,029.73 and 671.42 is: 1,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.26 : 1,029.73 = 671.42 : x
  2. Step 2: Convert to fraction form
    690.26/1,029.73 = 671.42/x
  3. Step 3: Cross multiply
    690.26x = 1,029.73 × 671.42
  4. Step 4: Simplify right side
    690.26x = 691,377.96
  5. Step 5: Solve for x
    x = 691,377.96/690.26
  6. Step 6: Final answer
    x = 1,001.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.