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Finding the Fourth Proportional to 524.30, 723.20 and 413.74

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Solution

The fourth proportional to 524.30, 723.20 and 413.74 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 723.20 = 413.74 : x
  2. Step 2: Convert to fraction form
    524.30/723.20 = 413.74/x
  3. Step 3: Cross multiply
    524.30x = 723.20 × 413.74
  4. Step 4: Simplify right side
    524.30x = 299,216.77
  5. Step 5: Solve for x
    x = 299,216.77/524.30
  6. Step 6: Final answer
    x = 570.70

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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.