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Finding the Fourth Proportional to 709.80, 979.44 and 415.02

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Solution

The fourth proportional to 709.80, 979.44 and 415.02 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 979.44 = 415.02 : x
  2. Step 2: Convert to fraction form
    709.80/979.44 = 415.02/x
  3. Step 3: Cross multiply
    709.80x = 979.44 × 415.02
  4. Step 4: Simplify right side
    709.80x = 406,487.19
  5. Step 5: Solve for x
    x = 406,487.19/709.80
  6. Step 6: Final answer
    x = 572.68

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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.