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Finding the Fourth Proportional to 1,030.62, 1,422.72 and 681.78

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Solution

The fourth proportional to 1,030.62, 1,422.72 and 681.78 is: 941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.62 : 1,422.72 = 681.78 : x
  2. Step 2: Convert to fraction form
    1,030.62/1,422.72 = 681.78/x
  3. Step 3: Cross multiply
    1,030.62x = 1,422.72 × 681.78
  4. Step 4: Simplify right side
    1,030.62x = 969,982.04
  5. Step 5: Solve for x
    x = 969,982.04/1,030.62
  6. Step 6: Final answer
    x = 941.16

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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.