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Finding the Fourth Proportional to 524.86, 724.16 and 413.98

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Solution

The fourth proportional to 524.86, 724.16 and 413.98 is: 571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 724.16 = 413.98 : x
  2. Step 2: Convert to fraction form
    524.86/724.16 = 413.98/x
  3. Step 3: Cross multiply
    524.86x = 724.16 × 413.98
  4. Step 4: Simplify right side
    524.86x = 299,785.69
  5. Step 5: Solve for x
    x = 299,785.69/524.86
  6. Step 6: Final answer
    x = 571.17

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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.