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Finding the Fourth Proportional to 506.56, 763.46 and 478.30

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Solution

The fourth proportional to 506.56, 763.46 and 478.30 is: 720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 763.46 = 478.30 : x
  2. Step 2: Convert to fraction form
    506.56/763.46 = 478.30/x
  3. Step 3: Cross multiply
    506.56x = 763.46 × 478.30
  4. Step 4: Simplify right side
    506.56x = 365,162.92
  5. Step 5: Solve for x
    x = 365,162.92/506.56
  6. Step 6: Final answer
    x = 720.87

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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.