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Finding the Fourth Proportional to 790.67, 1,186.01 and 242.92

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Solution

The fourth proportional to 790.67, 1,186.01 and 242.92 is: 364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.67 : 1,186.01 = 242.92 : x
  2. Step 2: Convert to fraction form
    790.67/1,186.01 = 242.92/x
  3. Step 3: Cross multiply
    790.67x = 1,186.01 × 242.92
  4. Step 4: Simplify right side
    790.67x = 288,098.40
  5. Step 5: Solve for x
    x = 288,098.40/790.67
  6. Step 6: Final answer
    x = 364.37

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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.