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Finding the Fourth Proportional to 900.26, 1,350.78 and 438.44

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Solution

The fourth proportional to 900.26, 1,350.78 and 438.44 is: 657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.26 : 1,350.78 = 438.44 : x
  2. Step 2: Convert to fraction form
    900.26/1,350.78 = 438.44/x
  3. Step 3: Cross multiply
    900.26x = 1,350.78 × 438.44
  4. Step 4: Simplify right side
    900.26x = 592,235.98
  5. Step 5: Solve for x
    x = 592,235.98/900.26
  6. Step 6: Final answer
    x = 657.85

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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.