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Finding the Fourth Proportional to 923.65, 1,385.30 and 274.23

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Solution

The fourth proportional to 923.65, 1,385.30 and 274.23 is: 411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.65 : 1,385.30 = 274.23 : x
  2. Step 2: Convert to fraction form
    923.65/1,385.30 = 274.23/x
  3. Step 3: Cross multiply
    923.65x = 1,385.30 × 274.23
  4. Step 4: Simplify right side
    923.65x = 379,891.50
  5. Step 5: Solve for x
    x = 379,891.50/923.65
  6. Step 6: Final answer
    x = 411.29

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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.