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Finding the Fourth Proportional to 755.08, 1,132.74 and 322.24

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Solution

The fourth proportional to 755.08, 1,132.74 and 322.24 is: 483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.08 : 1,132.74 = 322.24 : x
  2. Step 2: Convert to fraction form
    755.08/1,132.74 = 322.24/x
  3. Step 3: Cross multiply
    755.08x = 1,132.74 × 322.24
  4. Step 4: Simplify right side
    755.08x = 365,014.14
  5. Step 5: Solve for x
    x = 365,014.14/755.08
  6. Step 6: Final answer
    x = 483.41

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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.