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Finding the Fourth Proportional to 501.44, 748.32 and 446.76

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Solution

The fourth proportional to 501.44, 748.32 and 446.76 is: 666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 748.32 = 446.76 : x
  2. Step 2: Convert to fraction form
    501.44/748.32 = 446.76/x
  3. Step 3: Cross multiply
    501.44x = 748.32 × 446.76
  4. Step 4: Simplify right side
    501.44x = 334,319.44
  5. Step 5: Solve for x
    x = 334,319.44/501.44
  6. Step 6: Final answer
    x = 666.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.