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Finding the Fourth Proportional to 456.20, 687.02 and 413.36

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Solution

The fourth proportional to 456.20, 687.02 and 413.36 is: 622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.20 : 687.02 = 413.36 : x
  2. Step 2: Convert to fraction form
    456.20/687.02 = 413.36/x
  3. Step 3: Cross multiply
    456.20x = 687.02 × 413.36
  4. Step 4: Simplify right side
    456.20x = 283,986.59
  5. Step 5: Solve for x
    x = 283,986.59/456.20
  6. Step 6: Final answer
    x = 622.50

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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.