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Finding the Fourth Proportional to 459.24, 688.19 and 343.14

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Solution

The fourth proportional to 459.24, 688.19 and 343.14 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 688.19 = 343.14 : x
  2. Step 2: Convert to fraction form
    459.24/688.19 = 343.14/x
  3. Step 3: Cross multiply
    459.24x = 688.19 × 343.14
  4. Step 4: Simplify right side
    459.24x = 236,143.80
  5. Step 5: Solve for x
    x = 236,143.80/459.24
  6. Step 6: Final answer
    x = 514.21

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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.