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Finding the Fourth Proportional to 479.14, 659.90 and 413.62

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Solution

The fourth proportional to 479.14, 659.90 and 413.62 is: 569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.14 : 659.90 = 413.62 : x
  2. Step 2: Convert to fraction form
    479.14/659.90 = 413.62/x
  3. Step 3: Cross multiply
    479.14x = 659.90 × 413.62
  4. Step 4: Simplify right side
    479.14x = 272,947.84
  5. Step 5: Solve for x
    x = 272,947.84/479.14
  6. Step 6: Final answer
    x = 569.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.