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Finding the Fourth Proportional to 1,377.59, 2,064.63 and 645.56

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Solution

The fourth proportional to 1,377.59, 2,064.63 and 645.56 is: 967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.59 : 2,064.63 = 645.56 : x
  2. Step 2: Convert to fraction form
    1,377.59/2,064.63 = 645.56/x
  3. Step 3: Cross multiply
    1,377.59x = 2,064.63 × 645.56
  4. Step 4: Simplify right side
    1,377.59x = 1,332,832.22
  5. Step 5: Solve for x
    x = 1,332,832.22/1,377.59
  6. Step 6: Final answer
    x = 967.51

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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.