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Finding the Fourth Proportional to 418.99, 580.65 and 413.12

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Solution

The fourth proportional to 418.99, 580.65 and 413.12 is: 572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.99 : 580.65 = 413.12 : x
  2. Step 2: Convert to fraction form
    418.99/580.65 = 413.12/x
  3. Step 3: Cross multiply
    418.99x = 580.65 × 413.12
  4. Step 4: Simplify right side
    418.99x = 239,875.22
  5. Step 5: Solve for x
    x = 239,875.22/418.99
  6. Step 6: Final answer
    x = 572.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.