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Finding the Fourth Proportional to 503.12, 694.32 and 279.08

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Solution

The fourth proportional to 503.12, 694.32 and 279.08 is: 385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 694.32 = 279.08 : x
  2. Step 2: Convert to fraction form
    503.12/694.32 = 279.08/x
  3. Step 3: Cross multiply
    503.12x = 694.32 × 279.08
  4. Step 4: Simplify right side
    503.12x = 193,770.83
  5. Step 5: Solve for x
    x = 193,770.83/503.12
  6. Step 6: Final answer
    x = 385.14

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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.