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Finding the Fourth Proportional to 765.03, 1,147.49 and 278.19

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Solution

The fourth proportional to 765.03, 1,147.49 and 278.19 is: 417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.03 : 1,147.49 = 278.19 : x
  2. Step 2: Convert to fraction form
    765.03/1,147.49 = 278.19/x
  3. Step 3: Cross multiply
    765.03x = 1,147.49 × 278.19
  4. Step 4: Simplify right side
    765.03x = 319,218.85
  5. Step 5: Solve for x
    x = 319,218.85/765.03
  6. Step 6: Final answer
    x = 417.26

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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.