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Finding the Fourth Proportional to 1,502.91, 2,252.82 and 761.15

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Solution

The fourth proportional to 1,502.91, 2,252.82 and 761.15 is: 1,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.91 : 2,252.82 = 761.15 : x
  2. Step 2: Convert to fraction form
    1,502.91/2,252.82 = 761.15/x
  3. Step 3: Cross multiply
    1,502.91x = 2,252.82 × 761.15
  4. Step 4: Simplify right side
    1,502.91x = 1,714,729.76
  5. Step 5: Solve for x
    x = 1,714,729.76/1,502.91
  6. Step 6: Final answer
    x = 1,140.94

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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.