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Finding the Fourth Proportional to 459.46, 688.38 and 409.24

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Solution

The fourth proportional to 459.46, 688.38 and 409.24 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 688.38 = 409.24 : x
  2. Step 2: Convert to fraction form
    459.46/688.38 = 409.24/x
  3. Step 3: Cross multiply
    459.46x = 688.38 × 409.24
  4. Step 4: Simplify right side
    459.46x = 281,712.63
  5. Step 5: Solve for x
    x = 281,712.63/459.46
  6. Step 6: Final answer
    x = 613.14

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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.