Home / 1,490.29-2,056.65-827.20

Finding the Fourth Proportional to 1,490.29, 2,056.65 and 827.20

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Solution

The fourth proportional to 1,490.29, 2,056.65 and 827.20 is: 1,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.29 : 2,056.65 = 827.20 : x
  2. Step 2: Convert to fraction form
    1,490.29/2,056.65 = 827.20/x
  3. Step 3: Cross multiply
    1,490.29x = 2,056.65 × 827.20
  4. Step 4: Simplify right side
    1,490.29x = 1,701,260.88
  5. Step 5: Solve for x
    x = 1,701,260.88/1,490.29
  6. Step 6: Final answer
    x = 1,141.56

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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.