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Finding the Fourth Proportional to 716.47, 988.74 and 401.74

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Solution

The fourth proportional to 716.47, 988.74 and 401.74 is: 554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.47 : 988.74 = 401.74 : x
  2. Step 2: Convert to fraction form
    716.47/988.74 = 401.74/x
  3. Step 3: Cross multiply
    716.47x = 988.74 × 401.74
  4. Step 4: Simplify right side
    716.47x = 397,216.41
  5. Step 5: Solve for x
    x = 397,216.41/716.47
  6. Step 6: Final answer
    x = 554.41

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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.