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Finding the Fourth Proportional to 1,754.50, 2,631.78 and 455.94

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Solution

The fourth proportional to 1,754.50, 2,631.78 and 455.94 is: 683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.50 : 2,631.78 = 455.94 : x
  2. Step 2: Convert to fraction form
    1,754.50/2,631.78 = 455.94/x
  3. Step 3: Cross multiply
    1,754.50x = 2,631.78 × 455.94
  4. Step 4: Simplify right side
    1,754.50x = 1,199,933.77
  5. Step 5: Solve for x
    x = 1,199,933.77/1,754.50
  6. Step 6: Final answer
    x = 683.92

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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.