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Finding the Fourth Proportional to 1,474.78, 2,034.15 and 914.65

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Solution

The fourth proportional to 1,474.78, 2,034.15 and 914.65 is: 1,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.78 : 2,034.15 = 914.65 : x
  2. Step 2: Convert to fraction form
    1,474.78/2,034.15 = 914.65/x
  3. Step 3: Cross multiply
    1,474.78x = 2,034.15 × 914.65
  4. Step 4: Simplify right side
    1,474.78x = 1,860,535.30
  5. Step 5: Solve for x
    x = 1,860,535.30/1,474.78
  6. Step 6: Final answer
    x = 1,261.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.