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Finding the Fourth Proportional to 1,479.08, 2,218.48 and 505.08

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Solution

The fourth proportional to 1,479.08, 2,218.48 and 505.08 is: 757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.08 : 2,218.48 = 505.08 : x
  2. Step 2: Convert to fraction form
    1,479.08/2,218.48 = 505.08/x
  3. Step 3: Cross multiply
    1,479.08x = 2,218.48 × 505.08
  4. Step 4: Simplify right side
    1,479.08x = 1,120,509.88
  5. Step 5: Solve for x
    x = 1,120,509.88/1,479.08
  6. Step 6: Final answer
    x = 757.57

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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.