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Finding the Fourth Proportional to 511.73, 710.06 and 491.17

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Solution

The fourth proportional to 511.73, 710.06 and 491.17 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.73 : 710.06 = 491.17 : x
  2. Step 2: Convert to fraction form
    511.73/710.06 = 491.17/x
  3. Step 3: Cross multiply
    511.73x = 710.06 × 491.17
  4. Step 4: Simplify right side
    511.73x = 348,760.17
  5. Step 5: Solve for x
    x = 348,760.17/511.73
  6. Step 6: Final answer
    x = 681.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.