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Finding the Fourth Proportional to 497.72, 748.20 and 306.56

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Solution

The fourth proportional to 497.72, 748.20 and 306.56 is: 460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.72 : 748.20 = 306.56 : x
  2. Step 2: Convert to fraction form
    497.72/748.20 = 306.56/x
  3. Step 3: Cross multiply
    497.72x = 748.20 × 306.56
  4. Step 4: Simplify right side
    497.72x = 229,368.19
  5. Step 5: Solve for x
    x = 229,368.19/497.72
  6. Step 6: Final answer
    x = 460.84

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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.