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Finding the Fourth Proportional to 656.20, 979.97 and 565.12

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Solution

The fourth proportional to 656.20, 979.97 and 565.12 is: 843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 979.97 = 565.12 : x
  2. Step 2: Convert to fraction form
    656.20/979.97 = 565.12/x
  3. Step 3: Cross multiply
    656.20x = 979.97 × 565.12
  4. Step 4: Simplify right side
    656.20x = 553,800.65
  5. Step 5: Solve for x
    x = 553,800.65/656.20
  6. Step 6: Final answer
    x = 843.95

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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.