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Finding the Fourth Proportional to 1,292.50, 1,783.70 and 826.75

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Solution

The fourth proportional to 1,292.50, 1,783.70 and 826.75 is: 1,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.50 : 1,783.70 = 826.75 : x
  2. Step 2: Convert to fraction form
    1,292.50/1,783.70 = 826.75/x
  3. Step 3: Cross multiply
    1,292.50x = 1,783.70 × 826.75
  4. Step 4: Simplify right side
    1,292.50x = 1,474,673.98
  5. Step 5: Solve for x
    x = 1,474,673.98/1,292.50
  6. Step 6: Final answer
    x = 1,140.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.