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Finding the Fourth Proportional to 881.78, 1,216.94 and 508.82

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Solution

The fourth proportional to 881.78, 1,216.94 and 508.82 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.78 : 1,216.94 = 508.82 : x
  2. Step 2: Convert to fraction form
    881.78/1,216.94 = 508.82/x
  3. Step 3: Cross multiply
    881.78x = 1,216.94 × 508.82
  4. Step 4: Simplify right side
    881.78x = 619,194.78
  5. Step 5: Solve for x
    x = 619,194.78/881.78
  6. Step 6: Final answer
    x = 702.21

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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.