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Finding the Fourth Proportional to 1,678.74, 2,518.10 and 754.32

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Solution

The fourth proportional to 1,678.74, 2,518.10 and 754.32 is: 1,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.74 : 2,518.10 = 754.32 : x
  2. Step 2: Convert to fraction form
    1,678.74/2,518.10 = 754.32/x
  3. Step 3: Cross multiply
    1,678.74x = 2,518.10 × 754.32
  4. Step 4: Simplify right side
    1,678.74x = 1,899,453.19
  5. Step 5: Solve for x
    x = 1,899,453.19/1,678.74
  6. Step 6: Final answer
    x = 1,131.48

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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.