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Finding the Fourth Proportional to 949.02, 1,310.03 and 599.64

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Solution

The fourth proportional to 949.02, 1,310.03 and 599.64 is: 827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.02 : 1,310.03 = 599.64 : x
  2. Step 2: Convert to fraction form
    949.02/1,310.03 = 599.64/x
  3. Step 3: Cross multiply
    949.02x = 1,310.03 × 599.64
  4. Step 4: Simplify right side
    949.02x = 785,546.39
  5. Step 5: Solve for x
    x = 785,546.39/949.02
  6. Step 6: Final answer
    x = 827.74

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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.