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Finding the Fourth Proportional to 1,951.57, 2,927.31 and 564.85

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Solution

The fourth proportional to 1,951.57, 2,927.31 and 564.85 is: 847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.57 : 2,927.31 = 564.85 : x
  2. Step 2: Convert to fraction form
    1,951.57/2,927.31 = 564.85/x
  3. Step 3: Cross multiply
    1,951.57x = 2,927.31 × 564.85
  4. Step 4: Simplify right side
    1,951.57x = 1,653,491.05
  5. Step 5: Solve for x
    x = 1,653,491.05/1,951.57
  6. Step 6: Final answer
    x = 847.26

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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.