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Finding the Fourth Proportional to 524.61, 724.27 and 347.81

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Solution

The fourth proportional to 524.61, 724.27 and 347.81 is: 480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 724.27 = 347.81 : x
  2. Step 2: Convert to fraction form
    524.61/724.27 = 347.81/x
  3. Step 3: Cross multiply
    524.61x = 724.27 × 347.81
  4. Step 4: Simplify right side
    524.61x = 251,910.74
  5. Step 5: Solve for x
    x = 251,910.74/524.61
  6. Step 6: Final answer
    x = 480.18

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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.