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Finding the Fourth Proportional to 1,754.52, 2,633.09 and 830.37

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Solution

The fourth proportional to 1,754.52, 2,633.09 and 830.37 is: 1,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.52 : 2,633.09 = 830.37 : x
  2. Step 2: Convert to fraction form
    1,754.52/2,633.09 = 830.37/x
  3. Step 3: Cross multiply
    1,754.52x = 2,633.09 × 830.37
  4. Step 4: Simplify right side
    1,754.52x = 2,186,424.92
  5. Step 5: Solve for x
    x = 2,186,424.92/1,754.52
  6. Step 6: Final answer
    x = 1,246.16

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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.