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Finding the Fourth Proportional to 811.91, 1,120.49 and 462.60

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Solution

The fourth proportional to 811.91, 1,120.49 and 462.60 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.91 : 1,120.49 = 462.60 : x
  2. Step 2: Convert to fraction form
    811.91/1,120.49 = 462.60/x
  3. Step 3: Cross multiply
    811.91x = 1,120.49 × 462.60
  4. Step 4: Simplify right side
    811.91x = 518,338.67
  5. Step 5: Solve for x
    x = 518,338.67/811.91
  6. Step 6: Final answer
    x = 638.42

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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.