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Finding the Fourth Proportional to 1,234.68, 1,851.19 and 687.29

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Solution

The fourth proportional to 1,234.68, 1,851.19 and 687.29 is: 1,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.68 : 1,851.19 = 687.29 : x
  2. Step 2: Convert to fraction form
    1,234.68/1,851.19 = 687.29/x
  3. Step 3: Cross multiply
    1,234.68x = 1,851.19 × 687.29
  4. Step 4: Simplify right side
    1,234.68x = 1,272,293.40
  5. Step 5: Solve for x
    x = 1,272,293.40/1,234.68
  6. Step 6: Final answer
    x = 1,030.47

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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.