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Finding the Fourth Proportional to 524.33, 723.51 and 377.61

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Solution

The fourth proportional to 524.33, 723.51 and 377.61 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.33 : 723.51 = 377.61 : x
  2. Step 2: Convert to fraction form
    524.33/723.51 = 377.61/x
  3. Step 3: Cross multiply
    524.33x = 723.51 × 377.61
  4. Step 4: Simplify right side
    524.33x = 273,204.61
  5. Step 5: Solve for x
    x = 273,204.61/524.33
  6. Step 6: Final answer
    x = 521.06

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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.