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Finding the Fourth Proportional to 753.50, 1,039.84 and 438.82

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Solution

The fourth proportional to 753.50, 1,039.84 and 438.82 is: 605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.50 : 1,039.84 = 438.82 : x
  2. Step 2: Convert to fraction form
    753.50/1,039.84 = 438.82/x
  3. Step 3: Cross multiply
    753.50x = 1,039.84 × 438.82
  4. Step 4: Simplify right side
    753.50x = 456,298.89
  5. Step 5: Solve for x
    x = 456,298.89/753.50
  6. Step 6: Final answer
    x = 605.57

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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.