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Finding the Fourth Proportional to 503.05, 755.43 and 477.07

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Solution

The fourth proportional to 503.05, 755.43 and 477.07 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.05 : 755.43 = 477.07 : x
  2. Step 2: Convert to fraction form
    503.05/755.43 = 477.07/x
  3. Step 3: Cross multiply
    503.05x = 755.43 × 477.07
  4. Step 4: Simplify right side
    503.05x = 360,392.99
  5. Step 5: Solve for x
    x = 360,392.99/503.05
  6. Step 6: Final answer
    x = 716.42

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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.