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Finding the Fourth Proportional to 763.81, 1,138.19 and 739.03

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Solution

The fourth proportional to 763.81, 1,138.19 and 739.03 is: 1,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.81 : 1,138.19 = 739.03 : x
  2. Step 2: Convert to fraction form
    763.81/1,138.19 = 739.03/x
  3. Step 3: Cross multiply
    763.81x = 1,138.19 × 739.03
  4. Step 4: Simplify right side
    763.81x = 841,156.56
  5. Step 5: Solve for x
    x = 841,156.56/763.81
  6. Step 6: Final answer
    x = 1,101.26

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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.