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Finding the Fourth Proportional to 459.46, 685.82 and 404.77

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Solution

The fourth proportional to 459.46, 685.82 and 404.77 is: 604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 685.82 = 404.77 : x
  2. Step 2: Convert to fraction form
    459.46/685.82 = 404.77/x
  3. Step 3: Cross multiply
    459.46x = 685.82 × 404.77
  4. Step 4: Simplify right side
    459.46x = 277,599.36
  5. Step 5: Solve for x
    x = 277,599.36/459.46
  6. Step 6: Final answer
    x = 604.19

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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.