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Finding the Fourth Proportional to 710.25, 980.19 and 395.53

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Solution

The fourth proportional to 710.25, 980.19 and 395.53 is: 545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.25 : 980.19 = 395.53 : x
  2. Step 2: Convert to fraction form
    710.25/980.19 = 395.53/x
  3. Step 3: Cross multiply
    710.25x = 980.19 × 395.53
  4. Step 4: Simplify right side
    710.25x = 387,694.55
  5. Step 5: Solve for x
    x = 387,694.55/710.25
  6. Step 6: Final answer
    x = 545.86

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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.