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Finding the Fourth Proportional to 763.80, 1,145.19 and 352.38

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Solution

The fourth proportional to 763.80, 1,145.19 and 352.38 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.80 : 1,145.19 = 352.38 : x
  2. Step 2: Convert to fraction form
    763.80/1,145.19 = 352.38/x
  3. Step 3: Cross multiply
    763.80x = 1,145.19 × 352.38
  4. Step 4: Simplify right side
    763.80x = 403,542.05
  5. Step 5: Solve for x
    x = 403,542.05/763.80
  6. Step 6: Final answer
    x = 528.33

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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.