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Finding the Fourth Proportional to 763.47, 1,143.77 and 420.75

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Solution

The fourth proportional to 763.47, 1,143.77 and 420.75 is: 630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.47 : 1,143.77 = 420.75 : x
  2. Step 2: Convert to fraction form
    763.47/1,143.77 = 420.75/x
  3. Step 3: Cross multiply
    763.47x = 1,143.77 × 420.75
  4. Step 4: Simplify right side
    763.47x = 481,239.12
  5. Step 5: Solve for x
    x = 481,239.12/763.47
  6. Step 6: Final answer
    x = 630.33

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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.