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Finding the Fourth Proportional to 1,678.57, 2,518.42 and 754.77

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Solution

The fourth proportional to 1,678.57, 2,518.42 and 754.77 is: 1,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.57 : 2,518.42 = 754.77 : x
  2. Step 2: Convert to fraction form
    1,678.57/2,518.42 = 754.77/x
  3. Step 3: Cross multiply
    1,678.57x = 2,518.42 × 754.77
  4. Step 4: Simplify right side
    1,678.57x = 1,900,834.49
  5. Step 5: Solve for x
    x = 1,900,834.49/1,678.57
  6. Step 6: Final answer
    x = 1,132.42

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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.