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Finding the Fourth Proportional to 440.57, 605.10 and 413.46

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Solution

The fourth proportional to 440.57, 605.10 and 413.46 is: 567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.57 : 605.10 = 413.46 : x
  2. Step 2: Convert to fraction form
    440.57/605.10 = 413.46/x
  3. Step 3: Cross multiply
    440.57x = 605.10 × 413.46
  4. Step 4: Simplify right side
    440.57x = 250,184.65
  5. Step 5: Solve for x
    x = 250,184.65/440.57
  6. Step 6: Final answer
    x = 567.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.