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Finding the Fourth Proportional to 1,759.94, 2,640.30 and 527.46

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Solution

The fourth proportional to 1,759.94, 2,640.30 and 527.46 is: 791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.94 : 2,640.30 = 527.46 : x
  2. Step 2: Convert to fraction form
    1,759.94/2,640.30 = 527.46/x
  3. Step 3: Cross multiply
    1,759.94x = 2,640.30 × 527.46
  4. Step 4: Simplify right side
    1,759.94x = 1,392,652.64
  5. Step 5: Solve for x
    x = 1,392,652.64/1,759.94
  6. Step 6: Final answer
    x = 791.31

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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.