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Finding the Fourth Proportional to 875.82, 1,206.86 and 814.31

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Solution

The fourth proportional to 875.82, 1,206.86 and 814.31 is: 1,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.82 : 1,206.86 = 814.31 : x
  2. Step 2: Convert to fraction form
    875.82/1,206.86 = 814.31/x
  3. Step 3: Cross multiply
    875.82x = 1,206.86 × 814.31
  4. Step 4: Simplify right side
    875.82x = 982,758.17
  5. Step 5: Solve for x
    x = 982,758.17/875.82
  6. Step 6: Final answer
    x = 1,122.10

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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.