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Finding the Fourth Proportional to 458.67, 684.77 and 415.61

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Solution

The fourth proportional to 458.67, 684.77 and 415.61 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.67 : 684.77 = 415.61 : x
  2. Step 2: Convert to fraction form
    458.67/684.77 = 415.61/x
  3. Step 3: Cross multiply
    458.67x = 684.77 × 415.61
  4. Step 4: Simplify right side
    458.67x = 284,594.87
  5. Step 5: Solve for x
    x = 284,594.87/458.67
  6. Step 6: Final answer
    x = 620.48

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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.