Home / 1,118.10-1,677.42-678.54

Finding the Fourth Proportional to 1,118.10, 1,677.42 and 678.54

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Solution

The fourth proportional to 1,118.10, 1,677.42 and 678.54 is: 1,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.10 : 1,677.42 = 678.54 : x
  2. Step 2: Convert to fraction form
    1,118.10/1,677.42 = 678.54/x
  3. Step 3: Cross multiply
    1,118.10x = 1,677.42 × 678.54
  4. Step 4: Simplify right side
    1,118.10x = 1,138,196.57
  5. Step 5: Solve for x
    x = 1,138,196.57/1,118.10
  6. Step 6: Final answer
    x = 1,017.97

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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.