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Finding the Fourth Proportional to 495.78, 739.56 and 413.70

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Solution

The fourth proportional to 495.78, 739.56 and 413.70 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 739.56 = 413.70 : x
  2. Step 2: Convert to fraction form
    495.78/739.56 = 413.70/x
  3. Step 3: Cross multiply
    495.78x = 739.56 × 413.70
  4. Step 4: Simplify right side
    495.78x = 305,955.97
  5. Step 5: Solve for x
    x = 305,955.97/495.78
  6. Step 6: Final answer
    x = 617.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.