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Finding the Fourth Proportional to 819.98, 1,131.14 and 508.94

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Solution

The fourth proportional to 819.98, 1,131.14 and 508.94 is: 702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.98 : 1,131.14 = 508.94 : x
  2. Step 2: Convert to fraction form
    819.98/1,131.14 = 508.94/x
  3. Step 3: Cross multiply
    819.98x = 1,131.14 × 508.94
  4. Step 4: Simplify right side
    819.98x = 575,682.39
  5. Step 5: Solve for x
    x = 575,682.39/819.98
  6. Step 6: Final answer
    x = 702.07

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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.