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Finding the Fourth Proportional to 523.35, 783.77 and 413.28

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Solution

The fourth proportional to 523.35, 783.77 and 413.28 is: 618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 783.77 = 413.28 : x
  2. Step 2: Convert to fraction form
    523.35/783.77 = 413.28/x
  3. Step 3: Cross multiply
    523.35x = 783.77 × 413.28
  4. Step 4: Simplify right side
    523.35x = 323,914.40
  5. Step 5: Solve for x
    x = 323,914.40/523.35
  6. Step 6: Final answer
    x = 618.93

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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.