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Finding the Fourth Proportional to 413.40, 567.48 and 398.64

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Solution

The fourth proportional to 413.40, 567.48 and 398.64 is: 547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 567.48 = 398.64 : x
  2. Step 2: Convert to fraction form
    413.40/567.48 = 398.64/x
  3. Step 3: Cross multiply
    413.40x = 567.48 × 398.64
  4. Step 4: Simplify right side
    413.40x = 226,220.23
  5. Step 5: Solve for x
    x = 226,220.23/413.40
  6. Step 6: Final answer
    x = 547.22

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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.