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Finding the Fourth Proportional to 716.18, 988.28 and 405.68

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Solution

The fourth proportional to 716.18, 988.28 and 405.68 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.18 : 988.28 = 405.68 : x
  2. Step 2: Convert to fraction form
    716.18/988.28 = 405.68/x
  3. Step 3: Cross multiply
    716.18x = 988.28 × 405.68
  4. Step 4: Simplify right side
    716.18x = 400,925.43
  5. Step 5: Solve for x
    x = 400,925.43/716.18
  6. Step 6: Final answer
    x = 559.81

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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.