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Finding the Fourth Proportional to 1,118.09, 1,675.24 and 684.34

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Solution

The fourth proportional to 1,118.09, 1,675.24 and 684.34 is: 1,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.09 : 1,675.24 = 684.34 : x
  2. Step 2: Convert to fraction form
    1,118.09/1,675.24 = 684.34/x
  3. Step 3: Cross multiply
    1,118.09x = 1,675.24 × 684.34
  4. Step 4: Simplify right side
    1,118.09x = 1,146,433.74
  5. Step 5: Solve for x
    x = 1,146,433.74/1,118.09
  6. Step 6: Final answer
    x = 1,025.35

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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.