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Finding the Fourth Proportional to 710.29, 979.32 and 447.85

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Solution

The fourth proportional to 710.29, 979.32 and 447.85 is: 617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.29 : 979.32 = 447.85 : x
  2. Step 2: Convert to fraction form
    710.29/979.32 = 447.85/x
  3. Step 3: Cross multiply
    710.29x = 979.32 × 447.85
  4. Step 4: Simplify right side
    710.29x = 438,588.46
  5. Step 5: Solve for x
    x = 438,588.46/710.29
  6. Step 6: Final answer
    x = 617.48

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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.