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Finding the Fourth Proportional to 524.31, 786.97 and 399.74

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Solution

The fourth proportional to 524.31, 786.97 and 399.74 is: 600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.31 : 786.97 = 399.74 : x
  2. Step 2: Convert to fraction form
    524.31/786.97 = 399.74/x
  3. Step 3: Cross multiply
    524.31x = 786.97 × 399.74
  4. Step 4: Simplify right side
    524.31x = 314,581.39
  5. Step 5: Solve for x
    x = 314,581.39/524.31
  6. Step 6: Final answer
    x = 600.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.