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Finding the Fourth Proportional to 482.78, 665.74 and 413.07

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Solution

The fourth proportional to 482.78, 665.74 and 413.07 is: 569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 665.74 = 413.07 : x
  2. Step 2: Convert to fraction form
    482.78/665.74 = 413.07/x
  3. Step 3: Cross multiply
    482.78x = 665.74 × 413.07
  4. Step 4: Simplify right side
    482.78x = 274,995.16
  5. Step 5: Solve for x
    x = 274,995.16/482.78
  6. Step 6: Final answer
    x = 569.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.