Home / 1,490.21-2,056.32-826.90

Finding the Fourth Proportional to 1,490.21, 2,056.32 and 826.90

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Solution

The fourth proportional to 1,490.21, 2,056.32 and 826.90 is: 1,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.21 : 2,056.32 = 826.90 : x
  2. Step 2: Convert to fraction form
    1,490.21/2,056.32 = 826.90/x
  3. Step 3: Cross multiply
    1,490.21x = 2,056.32 × 826.90
  4. Step 4: Simplify right side
    1,490.21x = 1,700,371.01
  5. Step 5: Solve for x
    x = 1,700,371.01/1,490.21
  6. Step 6: Final answer
    x = 1,141.03

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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.