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Finding the Fourth Proportional to 739.75, 1,019.82 and 503.33

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Solution

The fourth proportional to 739.75, 1,019.82 and 503.33 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.75 : 1,019.82 = 503.33 : x
  2. Step 2: Convert to fraction form
    739.75/1,019.82 = 503.33/x
  3. Step 3: Cross multiply
    739.75x = 1,019.82 × 503.33
  4. Step 4: Simplify right side
    739.75x = 513,308.53
  5. Step 5: Solve for x
    x = 513,308.53/739.75
  6. Step 6: Final answer
    x = 693.90

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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.