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Finding the Fourth Proportional to 937.14, 1,405.73 and 389.17

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Solution

The fourth proportional to 937.14, 1,405.73 and 389.17 is: 583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,405.73 = 389.17 : x
  2. Step 2: Convert to fraction form
    937.14/1,405.73 = 389.17/x
  3. Step 3: Cross multiply
    937.14x = 1,405.73 × 389.17
  4. Step 4: Simplify right side
    937.14x = 547,067.94
  5. Step 5: Solve for x
    x = 547,067.94/937.14
  6. Step 6: Final answer
    x = 583.76

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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.