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Finding the Fourth Proportional to 811.81, 1,216.24 and 373.43

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Solution

The fourth proportional to 811.81, 1,216.24 and 373.43 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.81 : 1,216.24 = 373.43 : x
  2. Step 2: Convert to fraction form
    811.81/1,216.24 = 373.43/x
  3. Step 3: Cross multiply
    811.81x = 1,216.24 × 373.43
  4. Step 4: Simplify right side
    811.81x = 454,180.50
  5. Step 5: Solve for x
    x = 454,180.50/811.81
  6. Step 6: Final answer
    x = 559.47

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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.