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Finding the Fourth Proportional to 1,144.71, 1,579.70 and 620.75

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Solution

The fourth proportional to 1,144.71, 1,579.70 and 620.75 is: 856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.71 : 1,579.70 = 620.75 : x
  2. Step 2: Convert to fraction form
    1,144.71/1,579.70 = 620.75/x
  3. Step 3: Cross multiply
    1,144.71x = 1,579.70 × 620.75
  4. Step 4: Simplify right side
    1,144.71x = 980,587.77
  5. Step 5: Solve for x
    x = 980,587.77/1,144.71
  6. Step 6: Final answer
    x = 856.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.