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Finding the Fourth Proportional to 1,285.98, 1,774.63 and 726.44

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Solution

The fourth proportional to 1,285.98, 1,774.63 and 726.44 is: 1,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.98 : 1,774.63 = 726.44 : x
  2. Step 2: Convert to fraction form
    1,285.98/1,774.63 = 726.44/x
  3. Step 3: Cross multiply
    1,285.98x = 1,774.63 × 726.44
  4. Step 4: Simplify right side
    1,285.98x = 1,289,171.27
  5. Step 5: Solve for x
    x = 1,289,171.27/1,285.98
  6. Step 6: Final answer
    x = 1,002.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.