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Finding the Fourth Proportional to 1,475.65, 2,213.47 and 551.85

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Solution

The fourth proportional to 1,475.65, 2,213.47 and 551.85 is: 827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.65 : 2,213.47 = 551.85 : x
  2. Step 2: Convert to fraction form
    1,475.65/2,213.47 = 551.85/x
  3. Step 3: Cross multiply
    1,475.65x = 2,213.47 × 551.85
  4. Step 4: Simplify right side
    1,475.65x = 1,221,514.60
  5. Step 5: Solve for x
    x = 1,221,514.60/1,475.65
  6. Step 6: Final answer
    x = 827.78

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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.