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Finding the Fourth Proportional to 943.64, 1,415.54 and 294.38

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Solution

The fourth proportional to 943.64, 1,415.54 and 294.38 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.64 : 1,415.54 = 294.38 : x
  2. Step 2: Convert to fraction form
    943.64/1,415.54 = 294.38/x
  3. Step 3: Cross multiply
    943.64x = 1,415.54 × 294.38
  4. Step 4: Simplify right side
    943.64x = 416,698.12
  5. Step 5: Solve for x
    x = 416,698.12/943.64
  6. Step 6: Final answer
    x = 441.58

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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.