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Finding the Fourth Proportional to 790.91, 1,186.40 and 270.89

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Solution

The fourth proportional to 790.91, 1,186.40 and 270.89 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.91 : 1,186.40 = 270.89 : x
  2. Step 2: Convert to fraction form
    790.91/1,186.40 = 270.89/x
  3. Step 3: Cross multiply
    790.91x = 1,186.40 × 270.89
  4. Step 4: Simplify right side
    790.91x = 321,388.24
  5. Step 5: Solve for x
    x = 321,388.24/790.91
  6. Step 6: Final answer
    x = 406.35

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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.