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Finding the Fourth Proportional to 503.34, 693.51 and 376.79

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Solution

The fourth proportional to 503.34, 693.51 and 376.79 is: 519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 693.51 = 376.79 : x
  2. Step 2: Convert to fraction form
    503.34/693.51 = 376.79/x
  3. Step 3: Cross multiply
    503.34x = 693.51 × 376.79
  4. Step 4: Simplify right side
    503.34x = 261,304.17
  5. Step 5: Solve for x
    x = 261,304.17/503.34
  6. Step 6: Final answer
    x = 519.14

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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.