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Finding the Fourth Proportional to 503.18, 752.44 and 448.66

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Solution

The fourth proportional to 503.18, 752.44 and 448.66 is: 670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 752.44 = 448.66 : x
  2. Step 2: Convert to fraction form
    503.18/752.44 = 448.66/x
  3. Step 3: Cross multiply
    503.18x = 752.44 × 448.66
  4. Step 4: Simplify right side
    503.18x = 337,589.73
  5. Step 5: Solve for x
    x = 337,589.73/503.18
  6. Step 6: Final answer
    x = 670.91

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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.