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Finding the Fourth Proportional to 459.72, 684.98 and 411.21

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Solution

The fourth proportional to 459.72, 684.98 and 411.21 is: 612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 684.98 = 411.21 : x
  2. Step 2: Convert to fraction form
    459.72/684.98 = 411.21/x
  3. Step 3: Cross multiply
    459.72x = 684.98 × 411.21
  4. Step 4: Simplify right side
    459.72x = 281,668.57
  5. Step 5: Solve for x
    x = 281,668.57/459.72
  6. Step 6: Final answer
    x = 612.70

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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.