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Finding the Fourth Proportional to 1,754.87, 2,631.98 and 456.26

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Solution

The fourth proportional to 1,754.87, 2,631.98 and 456.26 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.87 : 2,631.98 = 456.26 : x
  2. Step 2: Convert to fraction form
    1,754.87/2,631.98 = 456.26/x
  3. Step 3: Cross multiply
    1,754.87x = 2,631.98 × 456.26
  4. Step 4: Simplify right side
    1,754.87x = 1,200,855.18
  5. Step 5: Solve for x
    x = 1,200,855.18/1,754.87
  6. Step 6: Final answer
    x = 684.30

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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.