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Finding the Fourth Proportional to 468.39, 646.00 and 413.18

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Solution

The fourth proportional to 468.39, 646.00 and 413.18 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.39 : 646.00 = 413.18 : x
  2. Step 2: Convert to fraction form
    468.39/646.00 = 413.18/x
  3. Step 3: Cross multiply
    468.39x = 646.00 × 413.18
  4. Step 4: Simplify right side
    468.39x = 266,910.02
  5. Step 5: Solve for x
    x = 266,910.02/468.39
  6. Step 6: Final answer
    x = 569.85

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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.