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Finding the Fourth Proportional to 872.00, 1,203.10 and 517.77

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Solution

The fourth proportional to 872.00, 1,203.10 and 517.77 is: 714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.00 : 1,203.10 = 517.77 : x
  2. Step 2: Convert to fraction form
    872.00/1,203.10 = 517.77/x
  3. Step 3: Cross multiply
    872.00x = 1,203.10 × 517.77
  4. Step 4: Simplify right side
    872.00x = 622,927.79
  5. Step 5: Solve for x
    x = 622,927.79/872.00
  6. Step 6: Final answer
    x = 714.37

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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.