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Finding the Fourth Proportional to 927.56, 1,388.12 and 576.02

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Solution

The fourth proportional to 927.56, 1,388.12 and 576.02 is: 862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.56 : 1,388.12 = 576.02 : x
  2. Step 2: Convert to fraction form
    927.56/1,388.12 = 576.02/x
  3. Step 3: Cross multiply
    927.56x = 1,388.12 × 576.02
  4. Step 4: Simplify right side
    927.56x = 799,580.27
  5. Step 5: Solve for x
    x = 799,580.27/927.56
  6. Step 6: Final answer
    x = 862.03

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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.