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Finding the Fourth Proportional to 1,132.78, 1,699.44 and 363.28

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Solution

The fourth proportional to 1,132.78, 1,699.44 and 363.28 is: 545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.78 : 1,699.44 = 363.28 : x
  2. Step 2: Convert to fraction form
    1,132.78/1,699.44 = 363.28/x
  3. Step 3: Cross multiply
    1,132.78x = 1,699.44 × 363.28
  4. Step 4: Simplify right side
    1,132.78x = 617,372.56
  5. Step 5: Solve for x
    x = 617,372.56/1,132.78
  6. Step 6: Final answer
    x = 545.01

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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.