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Finding the Fourth Proportional to 675.59, 1,012.31 and 610.79

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Solution

The fourth proportional to 675.59, 1,012.31 and 610.79 is: 915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.59 : 1,012.31 = 610.79 : x
  2. Step 2: Convert to fraction form
    675.59/1,012.31 = 610.79/x
  3. Step 3: Cross multiply
    675.59x = 1,012.31 × 610.79
  4. Step 4: Simplify right side
    675.59x = 618,305.77
  5. Step 5: Solve for x
    x = 618,305.77/675.59
  6. Step 6: Final answer
    x = 915.21

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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.