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Finding the Fourth Proportional to 811.00, 1,215.59 and 400.42

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Solution

The fourth proportional to 811.00, 1,215.59 and 400.42 is: 600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.00 : 1,215.59 = 400.42 : x
  2. Step 2: Convert to fraction form
    811.00/1,215.59 = 400.42/x
  3. Step 3: Cross multiply
    811.00x = 1,215.59 × 400.42
  4. Step 4: Simplify right side
    811.00x = 486,751.75
  5. Step 5: Solve for x
    x = 486,751.75/811.00
  6. Step 6: Final answer
    x = 600.19

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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.