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Finding the Fourth Proportional to 491.97, 677.65 and 413.20

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Solution

The fourth proportional to 491.97, 677.65 and 413.20 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.97 : 677.65 = 413.20 : x
  2. Step 2: Convert to fraction form
    491.97/677.65 = 413.20/x
  3. Step 3: Cross multiply
    491.97x = 677.65 × 413.20
  4. Step 4: Simplify right side
    491.97x = 279,999.53
  5. Step 5: Solve for x
    x = 279,999.53/491.97
  6. Step 6: Final answer
    x = 569.14

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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.