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Finding the Fourth Proportional to 495.58, 743.86 and 413.84

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Solution

The fourth proportional to 495.58, 743.86 and 413.84 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.58 : 743.86 = 413.84 : x
  2. Step 2: Convert to fraction form
    495.58/743.86 = 413.84/x
  3. Step 3: Cross multiply
    495.58x = 743.86 × 413.84
  4. Step 4: Simplify right side
    495.58x = 307,835.58
  5. Step 5: Solve for x
    x = 307,835.58/495.58
  6. Step 6: Final answer
    x = 621.16

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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.