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Finding the Fourth Proportional to 944.88, 1,415.79 and 578.55

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Solution

The fourth proportional to 944.88, 1,415.79 and 578.55 is: 866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.88 : 1,415.79 = 578.55 : x
  2. Step 2: Convert to fraction form
    944.88/1,415.79 = 578.55/x
  3. Step 3: Cross multiply
    944.88x = 1,415.79 × 578.55
  4. Step 4: Simplify right side
    944.88x = 819,105.30
  5. Step 5: Solve for x
    x = 819,105.30/944.88
  6. Step 6: Final answer
    x = 866.89

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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.