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Finding the Fourth Proportional to 923.91, 1,386.07 and 274.61

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Solution

The fourth proportional to 923.91, 1,386.07 and 274.61 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.91 : 1,386.07 = 274.61 : x
  2. Step 2: Convert to fraction form
    923.91/1,386.07 = 274.61/x
  3. Step 3: Cross multiply
    923.91x = 1,386.07 × 274.61
  4. Step 4: Simplify right side
    923.91x = 380,621.75
  5. Step 5: Solve for x
    x = 380,621.75/923.91
  6. Step 6: Final answer
    x = 411.97

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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.