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Finding the Fourth Proportional to 1,358.56, 2,038.38 and 811

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Solution

The fourth proportional to 1,358.56, 2,038.38 and 811 is: 1,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.56 : 2,038.38 = 811 : x
  2. Step 2: Convert to fraction form
    1,358.56/2,038.38 = 811/x
  3. Step 3: Cross multiply
    1,358.56x = 2,038.38 × 811
  4. Step 4: Simplify right side
    1,358.56x = 1,653,126.18
  5. Step 5: Solve for x
    x = 1,653,126.18/1,358.56
  6. Step 6: Final answer
    x = 1,216.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.