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Finding the Fourth Proportional to 710.36, 980.25 and 395.61

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Solution

The fourth proportional to 710.36, 980.25 and 395.61 is: 545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.36 : 980.25 = 395.61 : x
  2. Step 2: Convert to fraction form
    710.36/980.25 = 395.61/x
  3. Step 3: Cross multiply
    710.36x = 980.25 × 395.61
  4. Step 4: Simplify right side
    710.36x = 387,789.82
  5. Step 5: Solve for x
    x = 387,789.82/710.36
  6. Step 6: Final answer
    x = 545.91

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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.