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Finding the Fourth Proportional to 413.66, 624.15 and 410.42

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Solution

The fourth proportional to 413.66, 624.15 and 410.42 is: 619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 624.15 = 410.42 : x
  2. Step 2: Convert to fraction form
    413.66/624.15 = 410.42/x
  3. Step 3: Cross multiply
    413.66x = 624.15 × 410.42
  4. Step 4: Simplify right side
    413.66x = 256,163.64
  5. Step 5: Solve for x
    x = 256,163.64/413.66
  6. Step 6: Final answer
    x = 619.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.