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Finding the Fourth Proportional to 1,213.28, 1,820 and 588.38

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Solution

The fourth proportional to 1,213.28, 1,820 and 588.38 is: 882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.28 : 1,820 = 588.38 : x
  2. Step 2: Convert to fraction form
    1,213.28/1,820 = 588.38/x
  3. Step 3: Cross multiply
    1,213.28x = 1,820 × 588.38
  4. Step 4: Simplify right side
    1,213.28x = 1,070,851.60
  5. Step 5: Solve for x
    x = 1,070,851.60/1,213.28
  6. Step 6: Final answer
    x = 882.61

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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.