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Finding the Fourth Proportional to 602.38, 830.46 and 413.32

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Solution

The fourth proportional to 602.38, 830.46 and 413.32 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.38 : 830.46 = 413.32 : x
  2. Step 2: Convert to fraction form
    602.38/830.46 = 413.32/x
  3. Step 3: Cross multiply
    602.38x = 830.46 × 413.32
  4. Step 4: Simplify right side
    602.38x = 343,245.73
  5. Step 5: Solve for x
    x = 343,245.73/602.38
  6. Step 6: Final answer
    x = 569.82

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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.