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Finding the Fourth Proportional to 936.35, 1,404.93 and 503

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Solution

The fourth proportional to 936.35, 1,404.93 and 503 is: 754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.35 : 1,404.93 = 503 : x
  2. Step 2: Convert to fraction form
    936.35/1,404.93 = 503/x
  3. Step 3: Cross multiply
    936.35x = 1,404.93 × 503
  4. Step 4: Simplify right side
    936.35x = 706,679.79
  5. Step 5: Solve for x
    x = 706,679.79/936.35
  6. Step 6: Final answer
    x = 754.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.