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Finding the Fourth Proportional to 1,235.40, 1,854 and 680.15

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Solution

The fourth proportional to 1,235.40, 1,854 and 680.15 is: 1,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.40 : 1,854 = 680.15 : x
  2. Step 2: Convert to fraction form
    1,235.40/1,854 = 680.15/x
  3. Step 3: Cross multiply
    1,235.40x = 1,854 × 680.15
  4. Step 4: Simplify right side
    1,235.40x = 1,260,988.83
  5. Step 5: Solve for x
    x = 1,260,988.83/1,235.40
  6. Step 6: Final answer
    x = 1,020.71

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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.