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Finding the Fourth Proportional to 1,285.62, 1,927.95 and 627.29

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Solution

The fourth proportional to 1,285.62, 1,927.95 and 627.29 is: 940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.62 : 1,927.95 = 627.29 : x
  2. Step 2: Convert to fraction form
    1,285.62/1,927.95 = 627.29/x
  3. Step 3: Cross multiply
    1,285.62x = 1,927.95 × 627.29
  4. Step 4: Simplify right side
    1,285.62x = 1,209,393.37
  5. Step 5: Solve for x
    x = 1,209,393.37/1,285.62
  6. Step 6: Final answer
    x = 940.71

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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.