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Finding the Fourth Proportional to 943.87, 1,415.90 and 285.70

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Solution

The fourth proportional to 943.87, 1,415.90 and 285.70 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.87 : 1,415.90 = 285.70 : x
  2. Step 2: Convert to fraction form
    943.87/1,415.90 = 285.70/x
  3. Step 3: Cross multiply
    943.87x = 1,415.90 × 285.70
  4. Step 4: Simplify right side
    943.87x = 404,521.20
  5. Step 5: Solve for x
    x = 404,521.20/943.87
  6. Step 6: Final answer
    x = 428.58

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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.