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Finding the Fourth Proportional to 716.24, 988.17 and 568.41

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Solution

The fourth proportional to 716.24, 988.17 and 568.41 is: 784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 988.17 = 568.41 : x
  2. Step 2: Convert to fraction form
    716.24/988.17 = 568.41/x
  3. Step 3: Cross multiply
    716.24x = 988.17 × 568.41
  4. Step 4: Simplify right side
    716.24x = 561,685.71
  5. Step 5: Solve for x
    x = 561,685.71/716.24
  6. Step 6: Final answer
    x = 784.22

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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.