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Finding the Fourth Proportional to 1,805.57, 2,706.46 and 766.20

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Solution

The fourth proportional to 1,805.57, 2,706.46 and 766.20 is: 1,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.57 : 2,706.46 = 766.20 : x
  2. Step 2: Convert to fraction form
    1,805.57/2,706.46 = 766.20/x
  3. Step 3: Cross multiply
    1,805.57x = 2,706.46 × 766.20
  4. Step 4: Simplify right side
    1,805.57x = 2,073,697.89
  5. Step 5: Solve for x
    x = 2,073,697.89/1,805.57
  6. Step 6: Final answer
    x = 1,148.50

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1.5x scale

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.