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Finding the Fourth Proportional to 1,425.02, 2,135.70 and 644.99

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Solution

The fourth proportional to 1,425.02, 2,135.70 and 644.99 is: 966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.02 : 2,135.70 = 644.99 : x
  2. Step 2: Convert to fraction form
    1,425.02/2,135.70 = 644.99/x
  3. Step 3: Cross multiply
    1,425.02x = 2,135.70 × 644.99
  4. Step 4: Simplify right side
    1,425.02x = 1,377,505.14
  5. Step 5: Solve for x
    x = 1,377,505.14/1,425.02
  6. Step 6: Final answer
    x = 966.66

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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.