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Finding the Fourth Proportional to 927.51, 1,389.84 and 439.48

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Solution

The fourth proportional to 927.51, 1,389.84 and 439.48 is: 658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.51 : 1,389.84 = 439.48 : x
  2. Step 2: Convert to fraction form
    927.51/1,389.84 = 439.48/x
  3. Step 3: Cross multiply
    927.51x = 1,389.84 × 439.48
  4. Step 4: Simplify right side
    927.51x = 610,806.88
  5. Step 5: Solve for x
    x = 610,806.88/927.51
  6. Step 6: Final answer
    x = 658.54

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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.