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Finding the Fourth Proportional to 717.90, 991.13 and 469.64

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Solution

The fourth proportional to 717.90, 991.13 and 469.64 is: 648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.90 : 991.13 = 469.64 : x
  2. Step 2: Convert to fraction form
    717.90/991.13 = 469.64/x
  3. Step 3: Cross multiply
    717.90x = 991.13 × 469.64
  4. Step 4: Simplify right side
    717.90x = 465,474.29
  5. Step 5: Solve for x
    x = 465,474.29/717.90
  6. Step 6: Final answer
    x = 648.38

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1.5x scale

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.