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Finding the Fourth Proportional to 413.83, 567.43 and 401.68

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Solution

The fourth proportional to 413.83, 567.43 and 401.68 is: 550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.83 : 567.43 = 401.68 : x
  2. Step 2: Convert to fraction form
    413.83/567.43 = 401.68/x
  3. Step 3: Cross multiply
    413.83x = 567.43 × 401.68
  4. Step 4: Simplify right side
    413.83x = 227,925.28
  5. Step 5: Solve for x
    x = 227,925.28/413.83
  6. Step 6: Final answer
    x = 550.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.