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Finding the Fourth Proportional to 426.63, 587.87 and 343.40

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Solution

The fourth proportional to 426.63, 587.87 and 343.40 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.63 : 587.87 = 343.40 : x
  2. Step 2: Convert to fraction form
    426.63/587.87 = 343.40/x
  3. Step 3: Cross multiply
    426.63x = 587.87 × 343.40
  4. Step 4: Simplify right side
    426.63x = 201,874.31
  5. Step 5: Solve for x
    x = 201,874.31/426.63
  6. Step 6: Final answer
    x = 473.18

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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.