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Finding the Fourth Proportional to 1,225.62, 1,690.88 and 806.20

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Solution

The fourth proportional to 1,225.62, 1,690.88 and 806.20 is: 1,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.62 : 1,690.88 = 806.20 : x
  2. Step 2: Convert to fraction form
    1,225.62/1,690.88 = 806.20/x
  3. Step 3: Cross multiply
    1,225.62x = 1,690.88 × 806.20
  4. Step 4: Simplify right side
    1,225.62x = 1,363,179.20
  5. Step 5: Solve for x
    x = 1,363,179.20/1,225.62
  6. Step 6: Final answer
    x = 1,112.24

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1.5x scale

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.