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Finding the Fourth Proportional to 681.47, 1,023.25 and 653.39

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Solution

The fourth proportional to 681.47, 1,023.25 and 653.39 is: 981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.47 : 1,023.25 = 653.39 : x
  2. Step 2: Convert to fraction form
    681.47/1,023.25 = 653.39/x
  3. Step 3: Cross multiply
    681.47x = 1,023.25 × 653.39
  4. Step 4: Simplify right side
    681.47x = 668,581.32
  5. Step 5: Solve for x
    x = 668,581.32/681.47
  6. Step 6: Final answer
    x = 981.09

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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.