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Finding the Fourth Proportional to 413.00, 568.72 and 411.68

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Solution

The fourth proportional to 413.00, 568.72 and 411.68 is: 566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.00 : 568.72 = 411.68 : x
  2. Step 2: Convert to fraction form
    413.00/568.72 = 411.68/x
  3. Step 3: Cross multiply
    413.00x = 568.72 × 411.68
  4. Step 4: Simplify right side
    413.00x = 234,132.59
  5. Step 5: Solve for x
    x = 234,132.59/413.00
  6. Step 6: Final answer
    x = 566.91

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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.