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Finding the Fourth Proportional to 501.73, 747.56 and 447.17

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Solution

The fourth proportional to 501.73, 747.56 and 447.17 is: 666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.73 : 747.56 = 447.17 : x
  2. Step 2: Convert to fraction form
    501.73/747.56 = 447.17/x
  3. Step 3: Cross multiply
    501.73x = 747.56 × 447.17
  4. Step 4: Simplify right side
    501.73x = 334,283.79
  5. Step 5: Solve for x
    x = 334,283.79/501.73
  6. Step 6: Final answer
    x = 666.27

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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.