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Finding the Fourth Proportional to 716.29, 987.64 and 664.45

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Solution

The fourth proportional to 716.29, 987.64 and 664.45 is: 916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.29 : 987.64 = 664.45 : x
  2. Step 2: Convert to fraction form
    716.29/987.64 = 664.45/x
  3. Step 3: Cross multiply
    716.29x = 987.64 × 664.45
  4. Step 4: Simplify right side
    716.29x = 656,237.40
  5. Step 5: Solve for x
    x = 656,237.40/716.29
  6. Step 6: Final answer
    x = 916.16

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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.