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Finding the Fourth Proportional to 675.29, 1,005.80 and 645.31

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Solution

The fourth proportional to 675.29, 1,005.80 and 645.31 is: 961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.29 : 1,005.80 = 645.31 : x
  2. Step 2: Convert to fraction form
    675.29/1,005.80 = 645.31/x
  3. Step 3: Cross multiply
    675.29x = 1,005.80 × 645.31
  4. Step 4: Simplify right side
    675.29x = 649,052.80
  5. Step 5: Solve for x
    x = 649,052.80/675.29
  6. Step 6: Final answer
    x = 961.15

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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.