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Finding the Fourth Proportional to 884.00, 1,220.04 and 511.17

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Solution

The fourth proportional to 884.00, 1,220.04 and 511.17 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.00 : 1,220.04 = 511.17 : x
  2. Step 2: Convert to fraction form
    884.00/1,220.04 = 511.17/x
  3. Step 3: Cross multiply
    884.00x = 1,220.04 × 511.17
  4. Step 4: Simplify right side
    884.00x = 623,647.85
  5. Step 5: Solve for x
    x = 623,647.85/884.00
  6. Step 6: Final answer
    x = 705.49

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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.