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Finding the Fourth Proportional to 927.56, 1,384.57 and 859.04

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Solution

The fourth proportional to 927.56, 1,384.57 and 859.04 is: 1,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.56 : 1,384.57 = 859.04 : x
  2. Step 2: Convert to fraction form
    927.56/1,384.57 = 859.04/x
  3. Step 3: Cross multiply
    927.56x = 1,384.57 × 859.04
  4. Step 4: Simplify right side
    927.56x = 1,189,401.01
  5. Step 5: Solve for x
    x = 1,189,401.01/927.56
  6. Step 6: Final answer
    x = 1,282.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.