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Finding the Fourth Proportional to 524.61, 723.81 and 413.73

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Solution

The fourth proportional to 524.61, 723.81 and 413.73 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 723.81 = 413.73 : x
  2. Step 2: Convert to fraction form
    524.61/723.81 = 413.73/x
  3. Step 3: Cross multiply
    524.61x = 723.81 × 413.73
  4. Step 4: Simplify right side
    524.61x = 299,461.91
  5. Step 5: Solve for x
    x = 299,461.91/524.61
  6. Step 6: Final answer
    x = 570.83

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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.