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Finding the Fourth Proportional to 459.40, 687.66 and 343.18

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Solution

The fourth proportional to 459.40, 687.66 and 343.18 is: 513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.40 : 687.66 = 343.18 : x
  2. Step 2: Convert to fraction form
    459.40/687.66 = 343.18/x
  3. Step 3: Cross multiply
    459.40x = 687.66 × 343.18
  4. Step 4: Simplify right side
    459.40x = 235,991.16
  5. Step 5: Solve for x
    x = 235,991.16/459.40
  6. Step 6: Final answer
    x = 513.69

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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.