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Finding the Fourth Proportional to 709.62, 972.80 and 698.28

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Solution

The fourth proportional to 709.62, 972.80 and 698.28 is: 957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.62 : 972.80 = 698.28 : x
  2. Step 2: Convert to fraction form
    709.62/972.80 = 698.28/x
  3. Step 3: Cross multiply
    709.62x = 972.80 × 698.28
  4. Step 4: Simplify right side
    709.62x = 679,286.78
  5. Step 5: Solve for x
    x = 679,286.78/709.62
  6. Step 6: Final answer
    x = 957.25

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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.