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Finding the Fourth Proportional to 1,456.90, 2,010.45 and 827.41

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Solution

The fourth proportional to 1,456.90, 2,010.45 and 827.41 is: 1,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.90 : 2,010.45 = 827.41 : x
  2. Step 2: Convert to fraction form
    1,456.90/2,010.45 = 827.41/x
  3. Step 3: Cross multiply
    1,456.90x = 2,010.45 × 827.41
  4. Step 4: Simplify right side
    1,456.90x = 1,663,465.84
  5. Step 5: Solve for x
    x = 1,663,465.84/1,456.90
  6. Step 6: Final answer
    x = 1,141.78

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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.