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Finding the Fourth Proportional to 733.95, 1,012.59 and 439.11

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Solution

The fourth proportional to 733.95, 1,012.59 and 439.11 is: 605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.95 : 1,012.59 = 439.11 : x
  2. Step 2: Convert to fraction form
    733.95/1,012.59 = 439.11/x
  3. Step 3: Cross multiply
    733.95x = 1,012.59 × 439.11
  4. Step 4: Simplify right side
    733.95x = 444,638.39
  5. Step 5: Solve for x
    x = 444,638.39/733.95
  6. Step 6: Final answer
    x = 605.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.