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Finding the Fourth Proportional to 864.48, 1,287.99 and 823.20

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Solution

The fourth proportional to 864.48, 1,287.99 and 823.20 is: 1,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.48 : 1,287.99 = 823.20 : x
  2. Step 2: Convert to fraction form
    864.48/1,287.99 = 823.20/x
  3. Step 3: Cross multiply
    864.48x = 1,287.99 × 823.20
  4. Step 4: Simplify right side
    864.48x = 1,060,273.37
  5. Step 5: Solve for x
    x = 1,060,273.37/864.48
  6. Step 6: Final answer
    x = 1,226.49

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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.