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Finding the Fourth Proportional to 710.13, 979.83 and 415.23

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Solution

The fourth proportional to 710.13, 979.83 and 415.23 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.13 : 979.83 = 415.23 : x
  2. Step 2: Convert to fraction form
    710.13/979.83 = 415.23/x
  3. Step 3: Cross multiply
    710.13x = 979.83 × 415.23
  4. Step 4: Simplify right side
    710.13x = 406,851.14
  5. Step 5: Solve for x
    x = 406,851.14/710.13
  6. Step 6: Final answer
    x = 572.92

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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.