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Finding the Fourth Proportional to 763.41, 1,145.07 and 742.89

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Solution

The fourth proportional to 763.41, 1,145.07 and 742.89 is: 1,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.41 : 1,145.07 = 742.89 : x
  2. Step 2: Convert to fraction form
    763.41/1,145.07 = 742.89/x
  3. Step 3: Cross multiply
    763.41x = 1,145.07 × 742.89
  4. Step 4: Simplify right side
    763.41x = 850,661.05
  5. Step 5: Solve for x
    x = 850,661.05/763.41
  6. Step 6: Final answer
    x = 1,114.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.