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Finding the Fourth Proportional to 426.62, 587.67 and 364.65

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Solution

The fourth proportional to 426.62, 587.67 and 364.65 is: 502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.62 : 587.67 = 364.65 : x
  2. Step 2: Convert to fraction form
    426.62/587.67 = 364.65/x
  3. Step 3: Cross multiply
    426.62x = 587.67 × 364.65
  4. Step 4: Simplify right side
    426.62x = 214,293.87
  5. Step 5: Solve for x
    x = 214,293.87/426.62
  6. Step 6: Final answer
    x = 502.31

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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.