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Finding the Fourth Proportional to 506.31, 763.09 and 478.05

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Solution

The fourth proportional to 506.31, 763.09 and 478.05 is: 720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.31 : 763.09 = 478.05 : x
  2. Step 2: Convert to fraction form
    506.31/763.09 = 478.05/x
  3. Step 3: Cross multiply
    506.31x = 763.09 × 478.05
  4. Step 4: Simplify right side
    506.31x = 364,793.98
  5. Step 5: Solve for x
    x = 364,793.98/506.31
  6. Step 6: Final answer
    x = 720.50

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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.