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Finding the Fourth Proportional to 709.44, 979.04 and 414.92

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Solution

The fourth proportional to 709.44, 979.04 and 414.92 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.44 : 979.04 = 414.92 : x
  2. Step 2: Convert to fraction form
    709.44/979.04 = 414.92/x
  3. Step 3: Cross multiply
    709.44x = 979.04 × 414.92
  4. Step 4: Simplify right side
    709.44x = 406,223.28
  5. Step 5: Solve for x
    x = 406,223.28/709.44
  6. Step 6: Final answer
    x = 572.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.