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Finding the Fourth Proportional to 1,887.08, 2,830.49 and 588.55

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Solution

The fourth proportional to 1,887.08, 2,830.49 and 588.55 is: 882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.08 : 2,830.49 = 588.55 : x
  2. Step 2: Convert to fraction form
    1,887.08/2,830.49 = 588.55/x
  3. Step 3: Cross multiply
    1,887.08x = 2,830.49 × 588.55
  4. Step 4: Simplify right side
    1,887.08x = 1,665,885.70
  5. Step 5: Solve for x
    x = 1,665,885.70/1,887.08
  6. Step 6: Final answer
    x = 882.78

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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.