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Finding the Fourth Proportional to 1,579.27, 2,366.20 and 885.50

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Solution

The fourth proportional to 1,579.27, 2,366.20 and 885.50 is: 1,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.27 : 2,366.20 = 885.50 : x
  2. Step 2: Convert to fraction form
    1,579.27/2,366.20 = 885.50/x
  3. Step 3: Cross multiply
    1,579.27x = 2,366.20 × 885.50
  4. Step 4: Simplify right side
    1,579.27x = 2,095,270.10
  5. Step 5: Solve for x
    x = 2,095,270.10/1,579.27
  6. Step 6: Final answer
    x = 1,326.74

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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.