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Finding the Fourth Proportional to 1,679.91, 2,521.01 and 584.27

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Solution

The fourth proportional to 1,679.91, 2,521.01 and 584.27 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.91 : 2,521.01 = 584.27 : x
  2. Step 2: Convert to fraction form
    1,679.91/2,521.01 = 584.27/x
  3. Step 3: Cross multiply
    1,679.91x = 2,521.01 × 584.27
  4. Step 4: Simplify right side
    1,679.91x = 1,472,941.29
  5. Step 5: Solve for x
    x = 1,472,941.29/1,679.91
  6. Step 6: Final answer
    x = 876.80

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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.