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Finding the Fourth Proportional to 927.48, 1,391.40 and 278.28

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Solution

The fourth proportional to 927.48, 1,391.40 and 278.28 is: 417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.48 : 1,391.40 = 278.28 : x
  2. Step 2: Convert to fraction form
    927.48/1,391.40 = 278.28/x
  3. Step 3: Cross multiply
    927.48x = 1,391.40 × 278.28
  4. Step 4: Simplify right side
    927.48x = 387,198.79
  5. Step 5: Solve for x
    x = 387,198.79/927.48
  6. Step 6: Final answer
    x = 417.47

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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.