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Finding the Fourth Proportional to 679.32, 937.04 and 413.72

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Solution

The fourth proportional to 679.32, 937.04 and 413.72 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.32 : 937.04 = 413.72 : x
  2. Step 2: Convert to fraction form
    679.32/937.04 = 413.72/x
  3. Step 3: Cross multiply
    679.32x = 937.04 × 413.72
  4. Step 4: Simplify right side
    679.32x = 387,672.19
  5. Step 5: Solve for x
    x = 387,672.19/679.32
  6. Step 6: Final answer
    x = 570.68

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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.