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Finding the Fourth Proportional to 504.27, 694.31 and 438.39

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Solution

The fourth proportional to 504.27, 694.31 and 438.39 is: 603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.27 : 694.31 = 438.39 : x
  2. Step 2: Convert to fraction form
    504.27/694.31 = 438.39/x
  3. Step 3: Cross multiply
    504.27x = 694.31 × 438.39
  4. Step 4: Simplify right side
    504.27x = 304,376.37
  5. Step 5: Solve for x
    x = 304,376.37/504.27
  6. Step 6: Final answer
    x = 603.60

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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.