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Finding the Fourth Proportional to 501.18, 749.45 and 446.66

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Solution

The fourth proportional to 501.18, 749.45 and 446.66 is: 667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.18 : 749.45 = 446.66 : x
  2. Step 2: Convert to fraction form
    501.18/749.45 = 446.66/x
  3. Step 3: Cross multiply
    501.18x = 749.45 × 446.66
  4. Step 4: Simplify right side
    501.18x = 334,743.36
  5. Step 5: Solve for x
    x = 334,743.36/501.18
  6. Step 6: Final answer
    x = 667.91

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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.