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Finding the Fourth Proportional to 613.77, 847.60 and 524.73

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Solution

The fourth proportional to 613.77, 847.60 and 524.73 is: 724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 847.60 = 524.73 : x
  2. Step 2: Convert to fraction form
    613.77/847.60 = 524.73/x
  3. Step 3: Cross multiply
    613.77x = 847.60 × 524.73
  4. Step 4: Simplify right side
    613.77x = 444,761.15
  5. Step 5: Solve for x
    x = 444,761.15/613.77
  6. Step 6: Final answer
    x = 724.64

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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.