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Finding the Fourth Proportional to 949.90, 1,310.83 and 618.98

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Solution

The fourth proportional to 949.90, 1,310.83 and 618.98 is: 854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.90 : 1,310.83 = 618.98 : x
  2. Step 2: Convert to fraction form
    949.90/1,310.83 = 618.98/x
  3. Step 3: Cross multiply
    949.90x = 1,310.83 × 618.98
  4. Step 4: Simplify right side
    949.90x = 811,377.55
  5. Step 5: Solve for x
    x = 811,377.55/949.90
  6. Step 6: Final answer
    x = 854.17

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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.