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Finding the Fourth Proportional to 413.58, 617.64 and 332.16

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Solution

The fourth proportional to 413.58, 617.64 and 332.16 is: 496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.58 : 617.64 = 332.16 : x
  2. Step 2: Convert to fraction form
    413.58/617.64 = 332.16/x
  3. Step 3: Cross multiply
    413.58x = 617.64 × 332.16
  4. Step 4: Simplify right side
    413.58x = 205,155.30
  5. Step 5: Solve for x
    x = 205,155.30/413.58
  6. Step 6: Final answer
    x = 496.05

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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.