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Finding the Fourth Proportional to 1,305.72, 1,957.08 and 611.31

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Solution

The fourth proportional to 1,305.72, 1,957.08 and 611.31 is: 916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.72 : 1,957.08 = 611.31 : x
  2. Step 2: Convert to fraction form
    1,305.72/1,957.08 = 611.31/x
  3. Step 3: Cross multiply
    1,305.72x = 1,957.08 × 611.31
  4. Step 4: Simplify right side
    1,305.72x = 1,196,382.57
  5. Step 5: Solve for x
    x = 1,196,382.57/1,305.72
  6. Step 6: Final answer
    x = 916.26

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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.