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Finding the Fourth Proportional to 503.12, 694.37 and 306.59

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Solution

The fourth proportional to 503.12, 694.37 and 306.59 is: 423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 694.37 = 306.59 : x
  2. Step 2: Convert to fraction form
    503.12/694.37 = 306.59/x
  3. Step 3: Cross multiply
    503.12x = 694.37 × 306.59
  4. Step 4: Simplify right side
    503.12x = 212,889.40
  5. Step 5: Solve for x
    x = 212,889.40/503.12
  6. Step 6: Final answer
    x = 423.14

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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.