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Finding the Fourth Proportional to 737.41, 1,017.61 and 438.86

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Solution

The fourth proportional to 737.41, 1,017.61 and 438.86 is: 605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.41 : 1,017.61 = 438.86 : x
  2. Step 2: Convert to fraction form
    737.41/1,017.61 = 438.86/x
  3. Step 3: Cross multiply
    737.41x = 1,017.61 × 438.86
  4. Step 4: Simplify right side
    737.41x = 446,591.42
  5. Step 5: Solve for x
    x = 446,591.42/737.41
  6. Step 6: Final answer
    x = 605.62

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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.