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Finding the Fourth Proportional to 944.16, 1,415.69 and 285.84

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Solution

The fourth proportional to 944.16, 1,415.69 and 285.84 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 1,415.69 = 285.84 : x
  2. Step 2: Convert to fraction form
    944.16/1,415.69 = 285.84/x
  3. Step 3: Cross multiply
    944.16x = 1,415.69 × 285.84
  4. Step 4: Simplify right side
    944.16x = 404,659.40
  5. Step 5: Solve for x
    x = 404,659.40/944.16
  6. Step 6: Final answer
    x = 428.59

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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.