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Finding the Fourth Proportional to 835.10, 1,243.16 and 795.30

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Solution

The fourth proportional to 835.10, 1,243.16 and 795.30 is: 1,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.10 : 1,243.16 = 795.30 : x
  2. Step 2: Convert to fraction form
    835.10/1,243.16 = 795.30/x
  3. Step 3: Cross multiply
    835.10x = 1,243.16 × 795.30
  4. Step 4: Simplify right side
    835.10x = 988,681.17
  5. Step 5: Solve for x
    x = 988,681.17/835.10
  6. Step 6: Final answer
    x = 1,183.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.