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Finding the Fourth Proportional to 710.23, 980.03 and 411.47

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Solution

The fourth proportional to 710.23, 980.03 and 411.47 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.23 : 980.03 = 411.47 : x
  2. Step 2: Convert to fraction form
    710.23/980.03 = 411.47/x
  3. Step 3: Cross multiply
    710.23x = 980.03 × 411.47
  4. Step 4: Simplify right side
    710.23x = 403,253.58
  5. Step 5: Solve for x
    x = 403,253.58/710.23
  6. Step 6: Final answer
    x = 567.78

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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.