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Finding the Fourth Proportional to 1,490.75, 2,057.24 and 827.71

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Solution

The fourth proportional to 1,490.75, 2,057.24 and 827.71 is: 1,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.75 : 2,057.24 = 827.71 : x
  2. Step 2: Convert to fraction form
    1,490.75/2,057.24 = 827.71/x
  3. Step 3: Cross multiply
    1,490.75x = 2,057.24 × 827.71
  4. Step 4: Simplify right side
    1,490.75x = 1,702,798.12
  5. Step 5: Solve for x
    x = 1,702,798.12/1,490.75
  6. Step 6: Final answer
    x = 1,142.24

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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.