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Finding the Fourth Proportional to 721.71, 993.47 and 650.53

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Solution

The fourth proportional to 721.71, 993.47 and 650.53 is: 895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.71 : 993.47 = 650.53 : x
  2. Step 2: Convert to fraction form
    721.71/993.47 = 650.53/x
  3. Step 3: Cross multiply
    721.71x = 993.47 × 650.53
  4. Step 4: Simplify right side
    721.71x = 646,280.03
  5. Step 5: Solve for x
    x = 646,280.03/721.71
  6. Step 6: Final answer
    x = 895.48

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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.