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Finding the Fourth Proportional to 459.49, 686.62 and 349.20

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Solution

The fourth proportional to 459.49, 686.62 and 349.20 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 686.62 = 349.20 : x
  2. Step 2: Convert to fraction form
    459.49/686.62 = 349.20/x
  3. Step 3: Cross multiply
    459.49x = 686.62 × 349.20
  4. Step 4: Simplify right side
    459.49x = 239,767.70
  5. Step 5: Solve for x
    x = 239,767.70/459.49
  6. Step 6: Final answer
    x = 521.81

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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.