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Finding the Fourth Proportional to 417.20, 572.28 and 413.55

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Solution

The fourth proportional to 417.20, 572.28 and 413.55 is: 567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 572.28 = 413.55 : x
  2. Step 2: Convert to fraction form
    417.20/572.28 = 413.55/x
  3. Step 3: Cross multiply
    417.20x = 572.28 × 413.55
  4. Step 4: Simplify right side
    417.20x = 236,666.39
  5. Step 5: Solve for x
    x = 236,666.39/417.20
  6. Step 6: Final answer
    x = 567.28

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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.