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Finding the Fourth Proportional to 932.95, 1,399.07 and 274.65

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Solution

The fourth proportional to 932.95, 1,399.07 and 274.65 is: 411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.95 : 1,399.07 = 274.65 : x
  2. Step 2: Convert to fraction form
    932.95/1,399.07 = 274.65/x
  3. Step 3: Cross multiply
    932.95x = 1,399.07 × 274.65
  4. Step 4: Simplify right side
    932.95x = 384,250.02
  5. Step 5: Solve for x
    x = 384,250.02/932.95
  6. Step 6: Final answer
    x = 411.87

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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.