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Finding the Fourth Proportional to 716.09, 987.71 and 454.46

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Solution

The fourth proportional to 716.09, 987.71 and 454.46 is: 626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.09 : 987.71 = 454.46 : x
  2. Step 2: Convert to fraction form
    716.09/987.71 = 454.46/x
  3. Step 3: Cross multiply
    716.09x = 987.71 × 454.46
  4. Step 4: Simplify right side
    716.09x = 448,867.48
  5. Step 5: Solve for x
    x = 448,867.48/716.09
  6. Step 6: Final answer
    x = 626.84

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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.