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Finding the Fourth Proportional to 683.52, 1,020.36 and 660.66

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Solution

The fourth proportional to 683.52, 1,020.36 and 660.66 is: 986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 1,020.36 = 660.66 : x
  2. Step 2: Convert to fraction form
    683.52/1,020.36 = 660.66/x
  3. Step 3: Cross multiply
    683.52x = 1,020.36 × 660.66
  4. Step 4: Simplify right side
    683.52x = 674,111.04
  5. Step 5: Solve for x
    x = 674,111.04/683.52
  6. Step 6: Final answer
    x = 986.23

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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.