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Finding the Fourth Proportional to 646.56, 892.08 and 413.82

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Solution

The fourth proportional to 646.56, 892.08 and 413.82 is: 570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 892.08 = 413.82 : x
  2. Step 2: Convert to fraction form
    646.56/892.08 = 413.82/x
  3. Step 3: Cross multiply
    646.56x = 892.08 × 413.82
  4. Step 4: Simplify right side
    646.56x = 369,160.55
  5. Step 5: Solve for x
    x = 369,160.55/646.56
  6. Step 6: Final answer
    x = 570.96

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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.