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Finding the Fourth Proportional to 790.98, 1,185.88 and 400.79

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Solution

The fourth proportional to 790.98, 1,185.88 and 400.79 is: 600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.98 : 1,185.88 = 400.79 : x
  2. Step 2: Convert to fraction form
    790.98/1,185.88 = 400.79/x
  3. Step 3: Cross multiply
    790.98x = 1,185.88 × 400.79
  4. Step 4: Simplify right side
    790.98x = 475,288.85
  5. Step 5: Solve for x
    x = 475,288.85/790.98
  6. Step 6: Final answer
    x = 600.89

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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.