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Finding the Fourth Proportional to 830.13, 1,246.41 and 825.27

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Solution

The fourth proportional to 830.13, 1,246.41 and 825.27 is: 1,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.13 : 1,246.41 = 825.27 : x
  2. Step 2: Convert to fraction form
    830.13/1,246.41 = 825.27/x
  3. Step 3: Cross multiply
    830.13x = 1,246.41 × 825.27
  4. Step 4: Simplify right side
    830.13x = 1,028,624.78
  5. Step 5: Solve for x
    x = 1,028,624.78/830.13
  6. Step 6: Final answer
    x = 1,239.11

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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.