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Finding the Fourth Proportional to 504.11, 694.85 and 399.02

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Solution

The fourth proportional to 504.11, 694.85 and 399.02 is: 549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.11 : 694.85 = 399.02 : x
  2. Step 2: Convert to fraction form
    504.11/694.85 = 399.02/x
  3. Step 3: Cross multiply
    504.11x = 694.85 × 399.02
  4. Step 4: Simplify right side
    504.11x = 277,253.58
  5. Step 5: Solve for x
    x = 277,253.58/504.11
  6. Step 6: Final answer
    x = 549.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.