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Finding the Fourth Proportional to 610.65, 842.04 and 413.82

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Solution

The fourth proportional to 610.65, 842.04 and 413.82 is: 570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.65 : 842.04 = 413.82 : x
  2. Step 2: Convert to fraction form
    610.65/842.04 = 413.82/x
  3. Step 3: Cross multiply
    610.65x = 842.04 × 413.82
  4. Step 4: Simplify right side
    610.65x = 348,452.99
  5. Step 5: Solve for x
    x = 348,452.99/610.65
  6. Step 6: Final answer
    x = 570.63

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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.