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Finding the Fourth Proportional to 790.25, 1,183.80 and 616.08

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Solution

The fourth proportional to 790.25, 1,183.80 and 616.08 is: 922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.25 : 1,183.80 = 616.08 : x
  2. Step 2: Convert to fraction form
    790.25/1,183.80 = 616.08/x
  3. Step 3: Cross multiply
    790.25x = 1,183.80 × 616.08
  4. Step 4: Simplify right side
    790.25x = 729,315.50
  5. Step 5: Solve for x
    x = 729,315.50/790.25
  6. Step 6: Final answer
    x = 922.90

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1.5x scale

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.