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Finding the Fourth Proportional to 709.12, 972.20 and 696.16

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Solution

The fourth proportional to 709.12, 972.20 and 696.16 is: 954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 972.20 = 696.16 : x
  2. Step 2: Convert to fraction form
    709.12/972.20 = 696.16/x
  3. Step 3: Cross multiply
    709.12x = 972.20 × 696.16
  4. Step 4: Simplify right side
    709.12x = 676,806.75
  5. Step 5: Solve for x
    x = 676,806.75/709.12
  6. Step 6: Final answer
    x = 954.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.