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Finding the Fourth Proportional to 755.89, 1,132.01 and 511.67

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Solution

The fourth proportional to 755.89, 1,132.01 and 511.67 is: 766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.89 : 1,132.01 = 511.67 : x
  2. Step 2: Convert to fraction form
    755.89/1,132.01 = 511.67/x
  3. Step 3: Cross multiply
    755.89x = 1,132.01 × 511.67
  4. Step 4: Simplify right side
    755.89x = 579,217.75
  5. Step 5: Solve for x
    x = 579,217.75/755.89
  6. Step 6: Final answer
    x = 766.28

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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.