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Finding the Fourth Proportional to 723.82, 1,085.75 and 450.70

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Solution

The fourth proportional to 723.82, 1,085.75 and 450.70 is: 676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.82 : 1,085.75 = 450.70 : x
  2. Step 2: Convert to fraction form
    723.82/1,085.75 = 450.70/x
  3. Step 3: Cross multiply
    723.82x = 1,085.75 × 450.70
  4. Step 4: Simplify right side
    723.82x = 489,347.53
  5. Step 5: Solve for x
    x = 489,347.53/723.82
  6. Step 6: Final answer
    x = 676.06

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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.