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Finding the Fourth Proportional to 881.26, 1,216.09 and 503.16

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Solution

The fourth proportional to 881.26, 1,216.09 and 503.16 is: 694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.26 : 1,216.09 = 503.16 : x
  2. Step 2: Convert to fraction form
    881.26/1,216.09 = 503.16/x
  3. Step 3: Cross multiply
    881.26x = 1,216.09 × 503.16
  4. Step 4: Simplify right side
    881.26x = 611,889.34
  5. Step 5: Solve for x
    x = 611,889.34/881.26
  6. Step 6: Final answer
    x = 694.33

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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.