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Finding the Fourth Proportional to 849.85, 1,275.09 and 363.28

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Solution

The fourth proportional to 849.85, 1,275.09 and 363.28 is: 545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.85 : 1,275.09 = 363.28 : x
  2. Step 2: Convert to fraction form
    849.85/1,275.09 = 363.28/x
  3. Step 3: Cross multiply
    849.85x = 1,275.09 × 363.28
  4. Step 4: Simplify right side
    849.85x = 463,214.70
  5. Step 5: Solve for x
    x = 463,214.70/849.85
  6. Step 6: Final answer
    x = 545.05

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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.