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Finding the Fourth Proportional to 613.53, 847.25 and 393.01

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Solution

The fourth proportional to 613.53, 847.25 and 393.01 is: 542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 847.25 = 393.01 : x
  2. Step 2: Convert to fraction form
    613.53/847.25 = 393.01/x
  3. Step 3: Cross multiply
    613.53x = 847.25 × 393.01
  4. Step 4: Simplify right side
    613.53x = 332,977.72
  5. Step 5: Solve for x
    x = 332,977.72/613.53
  6. Step 6: Final answer
    x = 542.72

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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.