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Finding the Fourth Proportional to 503.09, 694.32 and 304.05

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Solution

The fourth proportional to 503.09, 694.32 and 304.05 is: 419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.09 : 694.32 = 304.05 : x
  2. Step 2: Convert to fraction form
    503.09/694.32 = 304.05/x
  3. Step 3: Cross multiply
    503.09x = 694.32 × 304.05
  4. Step 4: Simplify right side
    503.09x = 211,111.17
  5. Step 5: Solve for x
    x = 211,111.17/503.09
  6. Step 6: Final answer
    x = 419.63

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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.