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Finding the Fourth Proportional to 1,213.55, 1,820.09 and 658.00

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Solution

The fourth proportional to 1,213.55, 1,820.09 and 658.00 is: 986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.55 : 1,820.09 = 658.00 : x
  2. Step 2: Convert to fraction form
    1,213.55/1,820.09 = 658.00/x
  3. Step 3: Cross multiply
    1,213.55x = 1,820.09 × 658.00
  4. Step 4: Simplify right side
    1,213.55x = 1,197,616.31
  5. Step 5: Solve for x
    x = 1,197,616.31/1,213.55
  6. Step 6: Final answer
    x = 986.87

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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.