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Finding the Fourth Proportional to 503.87, 754.94 and 345.26

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Solution

The fourth proportional to 503.87, 754.94 and 345.26 is: 517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 754.94 = 345.26 : x
  2. Step 2: Convert to fraction form
    503.87/754.94 = 345.26/x
  3. Step 3: Cross multiply
    503.87x = 754.94 × 345.26
  4. Step 4: Simplify right side
    503.87x = 260,645.08
  5. Step 5: Solve for x
    x = 260,645.08/503.87
  6. Step 6: Final answer
    x = 517.29

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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.