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Finding the Fourth Proportional to 413.42, 619.23 and 317.12

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Solution

The fourth proportional to 413.42, 619.23 and 317.12 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 619.23 = 317.12 : x
  2. Step 2: Convert to fraction form
    413.42/619.23 = 317.12/x
  3. Step 3: Cross multiply
    413.42x = 619.23 × 317.12
  4. Step 4: Simplify right side
    413.42x = 196,370.22
  5. Step 5: Solve for x
    x = 196,370.22/413.42
  6. Step 6: Final answer
    x = 474.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.