Home / 1,490.04-2,056.24-826.99

Finding the Fourth Proportional to 1,490.04, 2,056.24 and 826.99

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Solution

The fourth proportional to 1,490.04, 2,056.24 and 826.99 is: 1,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.04 : 2,056.24 = 826.99 : x
  2. Step 2: Convert to fraction form
    1,490.04/2,056.24 = 826.99/x
  3. Step 3: Cross multiply
    1,490.04x = 2,056.24 × 826.99
  4. Step 4: Simplify right side
    1,490.04x = 1,700,489.92
  5. Step 5: Solve for x
    x = 1,700,489.92/1,490.04
  6. Step 6: Final answer
    x = 1,141.24

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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.