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Finding the Fourth Proportional to 1,550.14, 2,325.07 and 454.58

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Solution

The fourth proportional to 1,550.14, 2,325.07 and 454.58 is: 681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.14 : 2,325.07 = 454.58 : x
  2. Step 2: Convert to fraction form
    1,550.14/2,325.07 = 454.58/x
  3. Step 3: Cross multiply
    1,550.14x = 2,325.07 × 454.58
  4. Step 4: Simplify right side
    1,550.14x = 1,056,927.98
  5. Step 5: Solve for x
    x = 1,056,927.98/1,550.14
  6. Step 6: Final answer
    x = 681.83

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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.