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Finding the Fourth Proportional to 944.08, 1,415.56 and 423.98

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Solution

The fourth proportional to 944.08, 1,415.56 and 423.98 is: 635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.08 : 1,415.56 = 423.98 : x
  2. Step 2: Convert to fraction form
    944.08/1,415.56 = 423.98/x
  3. Step 3: Cross multiply
    944.08x = 1,415.56 × 423.98
  4. Step 4: Simplify right side
    944.08x = 600,169.13
  5. Step 5: Solve for x
    x = 600,169.13/944.08
  6. Step 6: Final answer
    x = 635.72

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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.