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Finding the Fourth Proportional to 811.71, 1,120.05 and 462.33

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Solution

The fourth proportional to 811.71, 1,120.05 and 462.33 is: 637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.71 : 1,120.05 = 462.33 : x
  2. Step 2: Convert to fraction form
    811.71/1,120.05 = 462.33/x
  3. Step 3: Cross multiply
    811.71x = 1,120.05 × 462.33
  4. Step 4: Simplify right side
    811.71x = 517,832.72
  5. Step 5: Solve for x
    x = 517,832.72/811.71
  6. Step 6: Final answer
    x = 637.95

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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.