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Finding the Fourth Proportional to 456.30, 682.65 and 413.10

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Solution

The fourth proportional to 456.30, 682.65 and 413.10 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 682.65 = 413.10 : x
  2. Step 2: Convert to fraction form
    456.30/682.65 = 413.10/x
  3. Step 3: Cross multiply
    456.30x = 682.65 × 413.10
  4. Step 4: Simplify right side
    456.30x = 282,002.72
  5. Step 5: Solve for x
    x = 282,002.72/456.30
  6. Step 6: Final answer
    x = 618.02

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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.