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Finding the Fourth Proportional to 949.66, 1,310.52 and 535.66

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Solution

The fourth proportional to 949.66, 1,310.52 and 535.66 is: 739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.66 : 1,310.52 = 535.66 : x
  2. Step 2: Convert to fraction form
    949.66/1,310.52 = 535.66/x
  3. Step 3: Cross multiply
    949.66x = 1,310.52 × 535.66
  4. Step 4: Simplify right side
    949.66x = 701,993.14
  5. Step 5: Solve for x
    x = 701,993.14/949.66
  6. Step 6: Final answer
    x = 739.20

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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.