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Finding the Fourth Proportional to 524.99, 724.34 and 315.09

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Solution

The fourth proportional to 524.99, 724.34 and 315.09 is: 434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.99 : 724.34 = 315.09 : x
  2. Step 2: Convert to fraction form
    524.99/724.34 = 315.09/x
  3. Step 3: Cross multiply
    524.99x = 724.34 × 315.09
  4. Step 4: Simplify right side
    524.99x = 228,232.29
  5. Step 5: Solve for x
    x = 228,232.29/524.99
  6. Step 6: Final answer
    x = 434.74

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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.