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Finding the Fourth Proportional to 842.00, 1,162.08 and 505.80

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Solution

The fourth proportional to 842.00, 1,162.08 and 505.80 is: 698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.00 : 1,162.08 = 505.80 : x
  2. Step 2: Convert to fraction form
    842.00/1,162.08 = 505.80/x
  3. Step 3: Cross multiply
    842.00x = 1,162.08 × 505.80
  4. Step 4: Simplify right side
    842.00x = 587,780.06
  5. Step 5: Solve for x
    x = 587,780.06/842.00
  6. Step 6: Final answer
    x = 698.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.