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Finding the Fourth Proportional to 1,030.44, 1,553.52 and 869.28

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Solution

The fourth proportional to 1,030.44, 1,553.52 and 869.28 is: 1,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.44 : 1,553.52 = 869.28 : x
  2. Step 2: Convert to fraction form
    1,030.44/1,553.52 = 869.28/x
  3. Step 3: Cross multiply
    1,030.44x = 1,553.52 × 869.28
  4. Step 4: Simplify right side
    1,030.44x = 1,350,443.87
  5. Step 5: Solve for x
    x = 1,350,443.87/1,030.44
  6. Step 6: Final answer
    x = 1,310.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.