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Finding the Fourth Proportional to 681.98, 1,024.01 and 653.90

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Solution

The fourth proportional to 681.98, 1,024.01 and 653.90 is: 981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.98 : 1,024.01 = 653.90 : x
  2. Step 2: Convert to fraction form
    681.98/1,024.01 = 653.90/x
  3. Step 3: Cross multiply
    681.98x = 1,024.01 × 653.90
  4. Step 4: Simplify right side
    681.98x = 669,591.75
  5. Step 5: Solve for x
    x = 669,591.75/681.98
  6. Step 6: Final answer
    x = 981.84

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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.