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Finding the Fourth Proportional to 923.97, 1,384.86 and 648.57

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Solution

The fourth proportional to 923.97, 1,384.86 and 648.57 is: 972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.97 : 1,384.86 = 648.57 : x
  2. Step 2: Convert to fraction form
    923.97/1,384.86 = 648.57/x
  3. Step 3: Cross multiply
    923.97x = 1,384.86 × 648.57
  4. Step 4: Simplify right side
    923.97x = 898,178.65
  5. Step 5: Solve for x
    x = 898,178.65/923.97
  6. Step 6: Final answer
    x = 972.09

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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.