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Finding the Fourth Proportional to 716.64, 1,072.92 and 648.30

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Solution

The fourth proportional to 716.64, 1,072.92 and 648.30 is: 970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.64 : 1,072.92 = 648.30 : x
  2. Step 2: Convert to fraction form
    716.64/1,072.92 = 648.30/x
  3. Step 3: Cross multiply
    716.64x = 1,072.92 × 648.30
  4. Step 4: Simplify right side
    716.64x = 695,574.04
  5. Step 5: Solve for x
    x = 695,574.04/716.64
  6. Step 6: Final answer
    x = 970.60

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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.