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Finding the Fourth Proportional to 753.79, 1,123.28 and 729.01

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Solution

The fourth proportional to 753.79, 1,123.28 and 729.01 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.79 : 1,123.28 = 729.01 : x
  2. Step 2: Convert to fraction form
    753.79/1,123.28 = 729.01/x
  3. Step 3: Cross multiply
    753.79x = 1,123.28 × 729.01
  4. Step 4: Simplify right side
    753.79x = 818,878.71
  5. Step 5: Solve for x
    x = 818,878.71/753.79
  6. Step 6: Final answer
    x = 1,086.36

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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.