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Finding the Fourth Proportional to 1,678.70, 2,519.27 and 583.99

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Solution

The fourth proportional to 1,678.70, 2,519.27 and 583.99 is: 876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.70 : 2,519.27 = 583.99 : x
  2. Step 2: Convert to fraction form
    1,678.70/2,519.27 = 583.99/x
  3. Step 3: Cross multiply
    1,678.70x = 2,519.27 × 583.99
  4. Step 4: Simplify right side
    1,678.70x = 1,471,228.49
  5. Step 5: Solve for x
    x = 1,471,228.49/1,678.70
  6. Step 6: Final answer
    x = 876.41

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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.