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Finding the Fourth Proportional to 1,640.39, 2,461.19 and 763.31

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Solution

The fourth proportional to 1,640.39, 2,461.19 and 763.31 is: 1,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.39 : 2,461.19 = 763.31 : x
  2. Step 2: Convert to fraction form
    1,640.39/2,461.19 = 763.31/x
  3. Step 3: Cross multiply
    1,640.39x = 2,461.19 × 763.31
  4. Step 4: Simplify right side
    1,640.39x = 1,878,634.82
  5. Step 5: Solve for x
    x = 1,878,634.82/1,640.39
  6. Step 6: Final answer
    x = 1,145.24

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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.