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Finding the Fourth Proportional to 708.64, 984.68 and 701.04

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Solution

The fourth proportional to 708.64, 984.68 and 701.04 is: 974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 984.68 = 701.04 : x
  2. Step 2: Convert to fraction form
    708.64/984.68 = 701.04/x
  3. Step 3: Cross multiply
    708.64x = 984.68 × 701.04
  4. Step 4: Simplify right side
    708.64x = 690,300.07
  5. Step 5: Solve for x
    x = 690,300.07/708.64
  6. Step 6: Final answer
    x = 974.12

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1.5x scale

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.