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Finding the Fourth Proportional to 524.81, 724.17 and 314.99

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Solution

The fourth proportional to 524.81, 724.17 and 314.99 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 724.17 = 314.99 : x
  2. Step 2: Convert to fraction form
    524.81/724.17 = 314.99/x
  3. Step 3: Cross multiply
    524.81x = 724.17 × 314.99
  4. Step 4: Simplify right side
    524.81x = 228,106.31
  5. Step 5: Solve for x
    x = 228,106.31/524.81
  6. Step 6: Final answer
    x = 434.65

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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.