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Finding the Fourth Proportional to 1,626.85, 2,438.83 and 652.29

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Solution

The fourth proportional to 1,626.85, 2,438.83 and 652.29 is: 977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.85 : 2,438.83 = 652.29 : x
  2. Step 2: Convert to fraction form
    1,626.85/2,438.83 = 652.29/x
  3. Step 3: Cross multiply
    1,626.85x = 2,438.83 × 652.29
  4. Step 4: Simplify right side
    1,626.85x = 1,590,824.42
  5. Step 5: Solve for x
    x = 1,590,824.42/1,626.85
  6. Step 6: Final answer
    x = 977.86

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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.