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Finding the Fourth Proportional to 755.31, 1,131.05 and 430.11

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Solution

The fourth proportional to 755.31, 1,131.05 and 430.11 is: 644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.31 : 1,131.05 = 430.11 : x
  2. Step 2: Convert to fraction form
    755.31/1,131.05 = 430.11/x
  3. Step 3: Cross multiply
    755.31x = 1,131.05 × 430.11
  4. Step 4: Simplify right side
    755.31x = 486,473.76
  5. Step 5: Solve for x
    x = 486,473.76/755.31
  6. Step 6: Final answer
    x = 644.07

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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.