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Finding the Fourth Proportional to 417.72, 571.92 and 413.76

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Solution

The fourth proportional to 417.72, 571.92 and 413.76 is: 566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 571.92 = 413.76 : x
  2. Step 2: Convert to fraction form
    417.72/571.92 = 413.76/x
  3. Step 3: Cross multiply
    417.72x = 571.92 × 413.76
  4. Step 4: Simplify right side
    417.72x = 236,637.62
  5. Step 5: Solve for x
    x = 236,637.62/417.72
  6. Step 6: Final answer
    x = 566.50

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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.