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Finding the Fourth Proportional to 681.12, 1,022.40 and 437.04

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Solution

The fourth proportional to 681.12, 1,022.40 and 437.04 is: 656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 1,022.40 = 437.04 : x
  2. Step 2: Convert to fraction form
    681.12/1,022.40 = 437.04/x
  3. Step 3: Cross multiply
    681.12x = 1,022.40 × 437.04
  4. Step 4: Simplify right side
    681.12x = 446,829.70
  5. Step 5: Solve for x
    x = 446,829.70/681.12
  6. Step 6: Final answer
    x = 656.02

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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.