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Finding the Fourth Proportional to 1,478.21, 2,216.63 and 504.05

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Solution

The fourth proportional to 1,478.21, 2,216.63 and 504.05 is: 755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.21 : 2,216.63 = 504.05 : x
  2. Step 2: Convert to fraction form
    1,478.21/2,216.63 = 504.05/x
  3. Step 3: Cross multiply
    1,478.21x = 2,216.63 × 504.05
  4. Step 4: Simplify right side
    1,478.21x = 1,117,278.75
  5. Step 5: Solve for x
    x = 1,117,278.75/1,478.21
  6. Step 6: Final answer
    x = 755.83

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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.