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Finding the Fourth Proportional to 814.40, 1,218.54 and 484.13

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Solution

The fourth proportional to 814.40, 1,218.54 and 484.13 is: 724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.40 : 1,218.54 = 484.13 : x
  2. Step 2: Convert to fraction form
    814.40/1,218.54 = 484.13/x
  3. Step 3: Cross multiply
    814.40x = 1,218.54 × 484.13
  4. Step 4: Simplify right side
    814.40x = 589,929.78
  5. Step 5: Solve for x
    x = 589,929.78/814.40
  6. Step 6: Final answer
    x = 724.37

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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.