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Finding the Fourth Proportional to 755.04, 1,131.75 and 549.30

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Solution

The fourth proportional to 755.04, 1,131.75 and 549.30 is: 823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.04 : 1,131.75 = 549.30 : x
  2. Step 2: Convert to fraction form
    755.04/1,131.75 = 549.30/x
  3. Step 3: Cross multiply
    755.04x = 1,131.75 × 549.30
  4. Step 4: Simplify right side
    755.04x = 621,670.28
  5. Step 5: Solve for x
    x = 621,670.28/755.04
  6. Step 6: Final answer
    x = 823.36

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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.