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Finding the Fourth Proportional to 616.86, 851.19 and 380.86

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Solution

The fourth proportional to 616.86, 851.19 and 380.86 is: 525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.86 : 851.19 = 380.86 : x
  2. Step 2: Convert to fraction form
    616.86/851.19 = 380.86/x
  3. Step 3: Cross multiply
    616.86x = 851.19 × 380.86
  4. Step 4: Simplify right side
    616.86x = 324,184.22
  5. Step 5: Solve for x
    x = 324,184.22/616.86
  6. Step 6: Final answer
    x = 525.54

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Double scale
Find fourth proportional to 617.86, 852.57 and 381.86
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.