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Finding the Fourth Proportional to 503.65, 754.26 and 286.30

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Solution

The fourth proportional to 503.65, 754.26 and 286.30 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 754.26 = 286.30 : x
  2. Step 2: Convert to fraction form
    503.65/754.26 = 286.30/x
  3. Step 3: Cross multiply
    503.65x = 754.26 × 286.30
  4. Step 4: Simplify right side
    503.65x = 215,944.64
  5. Step 5: Solve for x
    x = 215,944.64/503.65
  6. Step 6: Final answer
    x = 428.76

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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.