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Finding the Fourth Proportional to 579.15, 866.65 and 464.33

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Solution

The fourth proportional to 579.15, 866.65 and 464.33 is: 694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.15 : 866.65 = 464.33 : x
  2. Step 2: Convert to fraction form
    579.15/866.65 = 464.33/x
  3. Step 3: Cross multiply
    579.15x = 866.65 × 464.33
  4. Step 4: Simplify right side
    579.15x = 402,413.47
  5. Step 5: Solve for x
    x = 402,413.47/579.15
  6. Step 6: Final answer
    x = 694.83

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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.