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Finding the Fourth Proportional to 1,074.87, 1,612.19 and 294.93

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Solution

The fourth proportional to 1,074.87, 1,612.19 and 294.93 is: 442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.87 : 1,612.19 = 294.93 : x
  2. Step 2: Convert to fraction form
    1,074.87/1,612.19 = 294.93/x
  3. Step 3: Cross multiply
    1,074.87x = 1,612.19 × 294.93
  4. Step 4: Simplify right side
    1,074.87x = 475,481.72
  5. Step 5: Solve for x
    x = 475,481.72/1,074.87
  6. Step 6: Final answer
    x = 442.36

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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.