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Finding the Fourth Proportional to 674.73, 1,005.46 and 652.68

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Solution

The fourth proportional to 674.73, 1,005.46 and 652.68 is: 972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.73 : 1,005.46 = 652.68 : x
  2. Step 2: Convert to fraction form
    674.73/1,005.46 = 652.68/x
  3. Step 3: Cross multiply
    674.73x = 1,005.46 × 652.68
  4. Step 4: Simplify right side
    674.73x = 656,242.00
  5. Step 5: Solve for x
    x = 656,242.00/674.73
  6. Step 6: Final answer
    x = 972.60

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1.5x scale

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.