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Finding the Fourth Proportional to 763.02, 1,138.84 and 744.57

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Solution

The fourth proportional to 763.02, 1,138.84 and 744.57 is: 1,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.02 : 1,138.84 = 744.57 : x
  2. Step 2: Convert to fraction form
    763.02/1,138.84 = 744.57/x
  3. Step 3: Cross multiply
    763.02x = 1,138.84 × 744.57
  4. Step 4: Simplify right side
    763.02x = 847,944.24
  5. Step 5: Solve for x
    x = 847,944.24/763.02
  6. Step 6: Final answer
    x = 1,111.30

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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.