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Finding the Fourth Proportional to 1,424.77, 2,137.19 and 644.63

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Solution

The fourth proportional to 1,424.77, 2,137.19 and 644.63 is: 966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.77 : 2,137.19 = 644.63 : x
  2. Step 2: Convert to fraction form
    1,424.77/2,137.19 = 644.63/x
  3. Step 3: Cross multiply
    1,424.77x = 2,137.19 × 644.63
  4. Step 4: Simplify right side
    1,424.77x = 1,377,682.88
  5. Step 5: Solve for x
    x = 1,377,682.88/1,424.77
  6. Step 6: Final answer
    x = 966.95

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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.