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Finding the Fourth Proportional to 1,626.42, 2,439.81 and 515.82

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Solution

The fourth proportional to 1,626.42, 2,439.81 and 515.82 is: 773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.42 : 2,439.81 = 515.82 : x
  2. Step 2: Convert to fraction form
    1,626.42/2,439.81 = 515.82/x
  3. Step 3: Cross multiply
    1,626.42x = 2,439.81 × 515.82
  4. Step 4: Simplify right side
    1,626.42x = 1,258,502.79
  5. Step 5: Solve for x
    x = 1,258,502.79/1,626.42
  6. Step 6: Final answer
    x = 773.79

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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.