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Finding the Fourth Proportional to 833.53, 1,247.99 and 541.37

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Solution

The fourth proportional to 833.53, 1,247.99 and 541.37 is: 810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.53 : 1,247.99 = 541.37 : x
  2. Step 2: Convert to fraction form
    833.53/1,247.99 = 541.37/x
  3. Step 3: Cross multiply
    833.53x = 1,247.99 × 541.37
  4. Step 4: Simplify right side
    833.53x = 675,621.64
  5. Step 5: Solve for x
    x = 675,621.64/833.53
  6. Step 6: Final answer
    x = 810.55

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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.