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Finding the Fourth Proportional to 1,759.48, 2,639.42 and 785.46

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Solution

The fourth proportional to 1,759.48, 2,639.42 and 785.46 is: 1,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.48 : 2,639.42 = 785.46 : x
  2. Step 2: Convert to fraction form
    1,759.48/2,639.42 = 785.46/x
  3. Step 3: Cross multiply
    1,759.48x = 2,639.42 × 785.46
  4. Step 4: Simplify right side
    1,759.48x = 2,073,158.83
  5. Step 5: Solve for x
    x = 2,073,158.83/1,759.48
  6. Step 6: Final answer
    x = 1,178.28

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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.