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Finding the Fourth Proportional to 675.50, 1,005.42 and 660.38

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Solution

The fourth proportional to 675.50, 1,005.42 and 660.38 is: 982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 1,005.42 = 660.38 : x
  2. Step 2: Convert to fraction form
    675.50/1,005.42 = 660.38/x
  3. Step 3: Cross multiply
    675.50x = 1,005.42 × 660.38
  4. Step 4: Simplify right side
    675.50x = 663,959.26
  5. Step 5: Solve for x
    x = 663,959.26/675.50
  6. Step 6: Final answer
    x = 982.92

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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.