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Finding the Fourth Proportional to 1,022.93, 1,531.20 and 761.40

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Solution

The fourth proportional to 1,022.93, 1,531.20 and 761.40 is: 1,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.93 : 1,531.20 = 761.40 : x
  2. Step 2: Convert to fraction form
    1,022.93/1,531.20 = 761.40/x
  3. Step 3: Cross multiply
    1,022.93x = 1,531.20 × 761.40
  4. Step 4: Simplify right side
    1,022.93x = 1,165,858.54
  5. Step 5: Solve for x
    x = 1,165,858.54/1,022.93
  6. Step 6: Final answer
    x = 1,139.73

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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.