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Finding the Fourth Proportional to 503.32, 693.78 and 306.46

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Solution

The fourth proportional to 503.32, 693.78 and 306.46 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.32 : 693.78 = 306.46 : x
  2. Step 2: Convert to fraction form
    503.32/693.78 = 306.46/x
  3. Step 3: Cross multiply
    503.32x = 693.78 × 306.46
  4. Step 4: Simplify right side
    503.32x = 212,615.82
  5. Step 5: Solve for x
    x = 212,615.82/503.32
  6. Step 6: Final answer
    x = 422.43

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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.