Home / 1,490.25-2,056.45-827.10

Finding the Fourth Proportional to 1,490.25, 2,056.45 and 827.10

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Solution

The fourth proportional to 1,490.25, 2,056.45 and 827.10 is: 1,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.25 : 2,056.45 = 827.10 : x
  2. Step 2: Convert to fraction form
    1,490.25/2,056.45 = 827.10/x
  3. Step 3: Cross multiply
    1,490.25x = 2,056.45 × 827.10
  4. Step 4: Simplify right side
    1,490.25x = 1,700,889.80
  5. Step 5: Solve for x
    x = 1,700,889.80/1,490.25
  6. Step 6: Final answer
    x = 1,141.35

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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.