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Finding the Fourth Proportional to 503.56, 694.98 and 387.76

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Solution

The fourth proportional to 503.56, 694.98 and 387.76 is: 535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.56 : 694.98 = 387.76 : x
  2. Step 2: Convert to fraction form
    503.56/694.98 = 387.76/x
  3. Step 3: Cross multiply
    503.56x = 694.98 × 387.76
  4. Step 4: Simplify right side
    503.56x = 269,485.44
  5. Step 5: Solve for x
    x = 269,485.44/503.56
  6. Step 6: Final answer
    x = 535.16

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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.