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Finding the Fourth Proportional to 1,022.30, 1,531.91 and 761.07

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Solution

The fourth proportional to 1,022.30, 1,531.91 and 761.07 is: 1,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.30 : 1,531.91 = 761.07 : x
  2. Step 2: Convert to fraction form
    1,022.30/1,531.91 = 761.07/x
  3. Step 3: Cross multiply
    1,022.30x = 1,531.91 × 761.07
  4. Step 4: Simplify right side
    1,022.30x = 1,165,890.74
  5. Step 5: Solve for x
    x = 1,165,890.74/1,022.30
  6. Step 6: Final answer
    x = 1,140.46

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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.