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Finding the Fourth Proportional to 1,337.86, 2,006.49 and 644.10

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Solution

The fourth proportional to 1,337.86, 2,006.49 and 644.10 is: 966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.86 : 2,006.49 = 644.10 : x
  2. Step 2: Convert to fraction form
    1,337.86/2,006.49 = 644.10/x
  3. Step 3: Cross multiply
    1,337.86x = 2,006.49 × 644.10
  4. Step 4: Simplify right side
    1,337.86x = 1,292,380.21
  5. Step 5: Solve for x
    x = 1,292,380.21/1,337.86
  6. Step 6: Final answer
    x = 966.01

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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.