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Finding the Fourth Proportional to 1,558.80, 2,151.14 and 850.63

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Solution

The fourth proportional to 1,558.80, 2,151.14 and 850.63 is: 1,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.80 : 2,151.14 = 850.63 : x
  2. Step 2: Convert to fraction form
    1,558.80/2,151.14 = 850.63/x
  3. Step 3: Cross multiply
    1,558.80x = 2,151.14 × 850.63
  4. Step 4: Simplify right side
    1,558.80x = 1,829,824.22
  5. Step 5: Solve for x
    x = 1,829,824.22/1,558.80
  6. Step 6: Final answer
    x = 1,173.87

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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.