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Finding the Fourth Proportional to 683.74, 948.12 and 660.65

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Solution

The fourth proportional to 683.74, 948.12 and 660.65 is: 916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.74 : 948.12 = 660.65 : x
  2. Step 2: Convert to fraction form
    683.74/948.12 = 660.65/x
  3. Step 3: Cross multiply
    683.74x = 948.12 × 660.65
  4. Step 4: Simplify right side
    683.74x = 626,375.48
  5. Step 5: Solve for x
    x = 626,375.48/683.74
  6. Step 6: Final answer
    x = 916.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.