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Finding the Fourth Proportional to 1,309.29, 1,963.80 and 615.75

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Solution

The fourth proportional to 1,309.29, 1,963.80 and 615.75 is: 923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.29 : 1,963.80 = 615.75 : x
  2. Step 2: Convert to fraction form
    1,309.29/1,963.80 = 615.75/x
  3. Step 3: Cross multiply
    1,309.29x = 1,963.80 × 615.75
  4. Step 4: Simplify right side
    1,309.29x = 1,209,209.85
  5. Step 5: Solve for x
    x = 1,209,209.85/1,309.29
  6. Step 6: Final answer
    x = 923.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.