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Finding the Fourth Proportional to 814.01, 1,218.11 and 506.00

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Solution

The fourth proportional to 814.01, 1,218.11 and 506.00 is: 757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.01 : 1,218.11 = 506.00 : x
  2. Step 2: Convert to fraction form
    814.01/1,218.11 = 506.00/x
  3. Step 3: Cross multiply
    814.01x = 1,218.11 × 506.00
  4. Step 4: Simplify right side
    814.01x = 616,364.18
  5. Step 5: Solve for x
    x = 616,364.18/814.01
  6. Step 6: Final answer
    x = 757.20

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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.