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Finding the Fourth Proportional to 609.76, 841.32 and 413.20

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Solution

The fourth proportional to 609.76, 841.32 and 413.20 is: 570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.76 : 841.32 = 413.20 : x
  2. Step 2: Convert to fraction form
    609.76/841.32 = 413.20/x
  3. Step 3: Cross multiply
    609.76x = 841.32 × 413.20
  4. Step 4: Simplify right side
    609.76x = 347,633.42
  5. Step 5: Solve for x
    x = 347,633.42/609.76
  6. Step 6: Final answer
    x = 570.12

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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.