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Finding the Fourth Proportional to 610.20, 841.86 and 413.64

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Solution

The fourth proportional to 610.20, 841.86 and 413.64 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 841.86 = 413.64 : x
  2. Step 2: Convert to fraction form
    610.20/841.86 = 413.64/x
  3. Step 3: Cross multiply
    610.20x = 841.86 × 413.64
  4. Step 4: Simplify right side
    610.20x = 348,226.97
  5. Step 5: Solve for x
    x = 348,226.97/610.20
  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.