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Finding the Fourth Proportional to 1,753.14, 2,626.16 and 814.77

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Solution

The fourth proportional to 1,753.14, 2,626.16 and 814.77 is: 1,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.14 : 2,626.16 = 814.77 : x
  2. Step 2: Convert to fraction form
    1,753.14/2,626.16 = 814.77/x
  3. Step 3: Cross multiply
    1,753.14x = 2,626.16 × 814.77
  4. Step 4: Simplify right side
    1,753.14x = 2,139,712.31
  5. Step 5: Solve for x
    x = 2,139,712.31/1,753.14
  6. Step 6: Final answer
    x = 1,220.50

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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.