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Finding the Fourth Proportional to 502.06, 755.83 and 431.59

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Solution

The fourth proportional to 502.06, 755.83 and 431.59 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.06 : 755.83 = 431.59 : x
  2. Step 2: Convert to fraction form
    502.06/755.83 = 431.59/x
  3. Step 3: Cross multiply
    502.06x = 755.83 × 431.59
  4. Step 4: Simplify right side
    502.06x = 326,208.67
  5. Step 5: Solve for x
    x = 326,208.67/502.06
  6. Step 6: Final answer
    x = 649.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.