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Finding the Fourth Proportional to 1,273.79, 1,909.83 and 615.31

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Solution

The fourth proportional to 1,273.79, 1,909.83 and 615.31 is: 922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.79 : 1,909.83 = 615.31 : x
  2. Step 2: Convert to fraction form
    1,273.79/1,909.83 = 615.31/x
  3. Step 3: Cross multiply
    1,273.79x = 1,909.83 × 615.31
  4. Step 4: Simplify right side
    1,273.79x = 1,175,137.50
  5. Step 5: Solve for x
    x = 1,175,137.50/1,273.79
  6. Step 6: Final answer
    x = 922.55

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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.