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Finding the Fourth Proportional to 790.72, 1,184.19 and 616.12

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Solution

The fourth proportional to 790.72, 1,184.19 and 616.12 is: 922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.72 : 1,184.19 = 616.12 : x
  2. Step 2: Convert to fraction form
    790.72/1,184.19 = 616.12/x
  3. Step 3: Cross multiply
    790.72x = 1,184.19 × 616.12
  4. Step 4: Simplify right side
    790.72x = 729,603.14
  5. Step 5: Solve for x
    x = 729,603.14/790.72
  6. Step 6: Final answer
    x = 922.71

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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.