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Finding the Fourth Proportional to 393.54, 587.33 and 377.65

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Solution

The fourth proportional to 393.54, 587.33 and 377.65 is: 563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.54 : 587.33 = 377.65 : x
  2. Step 2: Convert to fraction form
    393.54/587.33 = 377.65/x
  3. Step 3: Cross multiply
    393.54x = 587.33 × 377.65
  4. Step 4: Simplify right side
    393.54x = 221,801.82
  5. Step 5: Solve for x
    x = 221,801.82/393.54
  6. Step 6: Final answer
    x = 563.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.