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Finding the Fourth Proportional to 716.33, 988.16 and 591.26

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Solution

The fourth proportional to 716.33, 988.16 and 591.26 is: 815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.33 : 988.16 = 591.26 : x
  2. Step 2: Convert to fraction form
    716.33/988.16 = 591.26/x
  3. Step 3: Cross multiply
    716.33x = 988.16 × 591.26
  4. Step 4: Simplify right side
    716.33x = 584,263.43
  5. Step 5: Solve for x
    x = 584,263.43/716.33
  6. Step 6: Final answer
    x = 815.63

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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.