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Finding the Fourth Proportional to 938.17, 1,406.22 and 389.58

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Solution

The fourth proportional to 938.17, 1,406.22 and 389.58 is: 583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.17 : 1,406.22 = 389.58 : x
  2. Step 2: Convert to fraction form
    938.17/1,406.22 = 389.58/x
  3. Step 3: Cross multiply
    938.17x = 1,406.22 × 389.58
  4. Step 4: Simplify right side
    938.17x = 547,835.19
  5. Step 5: Solve for x
    x = 547,835.19/938.17
  6. Step 6: Final answer
    x = 583.94

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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.