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Finding the Fourth Proportional to 710.20, 979.71 and 415.27

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Solution

The fourth proportional to 710.20, 979.71 and 415.27 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.20 : 979.71 = 415.27 : x
  2. Step 2: Convert to fraction form
    710.20/979.71 = 415.27/x
  3. Step 3: Cross multiply
    710.20x = 979.71 × 415.27
  4. Step 4: Simplify right side
    710.20x = 406,844.17
  5. Step 5: Solve for x
    x = 406,844.17/710.20
  6. Step 6: Final answer
    x = 572.86

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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.