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Finding the Fourth Proportional to 413.25, 566.05 and 407.98

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Solution

The fourth proportional to 413.25, 566.05 and 407.98 is: 558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 566.05 = 407.98 : x
  2. Step 2: Convert to fraction form
    413.25/566.05 = 407.98/x
  3. Step 3: Cross multiply
    413.25x = 566.05 × 407.98
  4. Step 4: Simplify right side
    413.25x = 230,938.10
  5. Step 5: Solve for x
    x = 230,938.10/413.25
  6. Step 6: Final answer
    x = 558.84

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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.