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Finding the Fourth Proportional to 755.07, 1,132.53 and 442.89

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Solution

The fourth proportional to 755.07, 1,132.53 and 442.89 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.07 : 1,132.53 = 442.89 : x
  2. Step 2: Convert to fraction form
    755.07/1,132.53 = 442.89/x
  3. Step 3: Cross multiply
    755.07x = 1,132.53 × 442.89
  4. Step 4: Simplify right side
    755.07x = 501,586.21
  5. Step 5: Solve for x
    x = 501,586.21/755.07
  6. Step 6: Final answer
    x = 664.29

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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.