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Finding the Fourth Proportional to 1,118.73, 1,680.74 and 1,056.57

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Solution

The fourth proportional to 1,118.73, 1,680.74 and 1,056.57 is: 1,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.73 : 1,680.74 = 1,056.57 : x
  2. Step 2: Convert to fraction form
    1,118.73/1,680.74 = 1,056.57/x
  3. Step 3: Cross multiply
    1,118.73x = 1,680.74 × 1,056.57
  4. Step 4: Simplify right side
    1,118.73x = 1,775,814.18
  5. Step 5: Solve for x
    x = 1,775,814.18/1,118.73
  6. Step 6: Final answer
    x = 1,587.35

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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.