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Finding the Fourth Proportional to 813.00, 1,218.48 and 350.24

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Solution

The fourth proportional to 813.00, 1,218.48 and 350.24 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.00 : 1,218.48 = 350.24 : x
  2. Step 2: Convert to fraction form
    813.00/1,218.48 = 350.24/x
  3. Step 3: Cross multiply
    813.00x = 1,218.48 × 350.24
  4. Step 4: Simplify right side
    813.00x = 426,759.88
  5. Step 5: Solve for x
    x = 426,759.88/813.00
  6. Step 6: Final answer
    x = 524.92

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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.