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Finding the Fourth Proportional to 949.70, 1,310.34 and 618.08

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Solution

The fourth proportional to 949.70, 1,310.34 and 618.08 is: 852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.70 : 1,310.34 = 618.08 : x
  2. Step 2: Convert to fraction form
    949.70/1,310.34 = 618.08/x
  3. Step 3: Cross multiply
    949.70x = 1,310.34 × 618.08
  4. Step 4: Simplify right side
    949.70x = 809,890.71
  5. Step 5: Solve for x
    x = 809,890.71/949.70
  6. Step 6: Final answer
    x = 852.78

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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.