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Finding the Fourth Proportional to 503.33, 693.81 and 378.77

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Solution

The fourth proportional to 503.33, 693.81 and 378.77 is: 522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.33 : 693.81 = 378.77 : x
  2. Step 2: Convert to fraction form
    503.33/693.81 = 378.77/x
  3. Step 3: Cross multiply
    503.33x = 693.81 × 378.77
  4. Step 4: Simplify right side
    503.33x = 262,790.94
  5. Step 5: Solve for x
    x = 262,790.94/503.33
  6. Step 6: Final answer
    x = 522.11

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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.