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Finding the Fourth Proportional to 755.99, 1,134.20 and 431.59

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Solution

The fourth proportional to 755.99, 1,134.20 and 431.59 is: 647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.99 : 1,134.20 = 431.59 : x
  2. Step 2: Convert to fraction form
    755.99/1,134.20 = 431.59/x
  3. Step 3: Cross multiply
    755.99x = 1,134.20 × 431.59
  4. Step 4: Simplify right side
    755.99x = 489,509.38
  5. Step 5: Solve for x
    x = 489,509.38/755.99
  6. Step 6: Final answer
    x = 647.51

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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.