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Finding the Fourth Proportional to 710.49, 980.52 and 395.82

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Solution

The fourth proportional to 710.49, 980.52 and 395.82 is: 546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.49 : 980.52 = 395.82 : x
  2. Step 2: Convert to fraction form
    710.49/980.52 = 395.82/x
  3. Step 3: Cross multiply
    710.49x = 980.52 × 395.82
  4. Step 4: Simplify right side
    710.49x = 388,110.17
  5. Step 5: Solve for x
    x = 388,110.17/710.49
  6. Step 6: Final answer
    x = 546.26

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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.