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Finding the Fourth Proportional to 1,626.24, 2,439.84 and 651.72

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Solution

The fourth proportional to 1,626.24, 2,439.84 and 651.72 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.24 : 2,439.84 = 651.72 : x
  2. Step 2: Convert to fraction form
    1,626.24/2,439.84 = 651.72/x
  3. Step 3: Cross multiply
    1,626.24x = 2,439.84 × 651.72
  4. Step 4: Simplify right side
    1,626.24x = 1,590,092.52
  5. Step 5: Solve for x
    x = 1,590,092.52/1,626.24
  6. Step 6: Final answer
    x = 977.77

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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.