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Finding the Fourth Proportional to 506.16, 763.46 and 446.04

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Solution

The fourth proportional to 506.16, 763.46 and 446.04 is: 672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 763.46 = 446.04 : x
  2. Step 2: Convert to fraction form
    506.16/763.46 = 446.04/x
  3. Step 3: Cross multiply
    506.16x = 763.46 × 446.04
  4. Step 4: Simplify right side
    506.16x = 340,533.70
  5. Step 5: Solve for x
    x = 340,533.70/506.16
  6. Step 6: Final answer
    x = 672.78

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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.