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Finding the Fourth Proportional to 716.55, 1,072.69 and 661.87

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Solution

The fourth proportional to 716.55, 1,072.69 and 661.87 is: 990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.55 : 1,072.69 = 661.87 : x
  2. Step 2: Convert to fraction form
    716.55/1,072.69 = 661.87/x
  3. Step 3: Cross multiply
    716.55x = 1,072.69 × 661.87
  4. Step 4: Simplify right side
    716.55x = 709,984.74
  5. Step 5: Solve for x
    x = 709,984.74/716.55
  6. Step 6: Final answer
    x = 990.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.