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Finding the Fourth Proportional to 753.66, 1,123.44 and 712.62

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Solution

The fourth proportional to 753.66, 1,123.44 and 712.62 is: 1,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.66 : 1,123.44 = 712.62 : x
  2. Step 2: Convert to fraction form
    753.66/1,123.44 = 712.62/x
  3. Step 3: Cross multiply
    753.66x = 1,123.44 × 712.62
  4. Step 4: Simplify right side
    753.66x = 800,585.81
  5. Step 5: Solve for x
    x = 800,585.81/753.66
  6. Step 6: Final answer
    x = 1,062.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.