Home / 1,146.42-1,581.66-680.58

Finding the Fourth Proportional to 1,146.42, 1,581.66 and 680.58

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Solution

The fourth proportional to 1,146.42, 1,581.66 and 680.58 is: 938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.42 : 1,581.66 = 680.58 : x
  2. Step 2: Convert to fraction form
    1,146.42/1,581.66 = 680.58/x
  3. Step 3: Cross multiply
    1,146.42x = 1,581.66 × 680.58
  4. Step 4: Simplify right side
    1,146.42x = 1,076,446.16
  5. Step 5: Solve for x
    x = 1,076,446.16/1,146.42
  6. Step 6: Final answer
    x = 938.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.