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Finding the Fourth Proportional to 459.39, 685.91 and 413.32

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Solution

The fourth proportional to 459.39, 685.91 and 413.32 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.39 : 685.91 = 413.32 : x
  2. Step 2: Convert to fraction form
    459.39/685.91 = 413.32/x
  3. Step 3: Cross multiply
    459.39x = 685.91 × 413.32
  4. Step 4: Simplify right side
    459.39x = 283,500.32
  5. Step 5: Solve for x
    x = 283,500.32/459.39
  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.