Home / 1,490.34-2,056.66-827.20

Finding the Fourth Proportional to 1,490.34, 2,056.66 and 827.20

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Solution

The fourth proportional to 1,490.34, 2,056.66 and 827.20 is: 1,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.34 : 2,056.66 = 827.20 : x
  2. Step 2: Convert to fraction form
    1,490.34/2,056.66 = 827.20/x
  3. Step 3: Cross multiply
    1,490.34x = 2,056.66 × 827.20
  4. Step 4: Simplify right side
    1,490.34x = 1,701,269.15
  5. Step 5: Solve for x
    x = 1,701,269.15/1,490.34
  6. Step 6: Final answer
    x = 1,141.53

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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.