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Finding the Fourth Proportional to 613.57, 917.58 and 393.65

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Solution

The fourth proportional to 613.57, 917.58 and 393.65 is: 588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.57 : 917.58 = 393.65 : x
  2. Step 2: Convert to fraction form
    613.57/917.58 = 393.65/x
  3. Step 3: Cross multiply
    613.57x = 917.58 × 393.65
  4. Step 4: Simplify right side
    613.57x = 361,205.37
  5. Step 5: Solve for x
    x = 361,205.37/613.57
  6. Step 6: Final answer
    x = 588.69

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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.