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Finding the Fourth Proportional to 717.96, 991.14 and 509.16

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Solution

The fourth proportional to 717.96, 991.14 and 509.16 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.96 : 991.14 = 509.16 : x
  2. Step 2: Convert to fraction form
    717.96/991.14 = 509.16/x
  3. Step 3: Cross multiply
    717.96x = 991.14 × 509.16
  4. Step 4: Simplify right side
    717.96x = 504,648.84
  5. Step 5: Solve for x
    x = 504,648.84/717.96
  6. Step 6: Final answer
    x = 702.89

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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.