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Finding the Fourth Proportional to 1,290.12, 1,932.61 and 944.18

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Solution

The fourth proportional to 1,290.12, 1,932.61 and 944.18 is: 1,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.12 : 1,932.61 = 944.18 : x
  2. Step 2: Convert to fraction form
    1,290.12/1,932.61 = 944.18/x
  3. Step 3: Cross multiply
    1,290.12x = 1,932.61 × 944.18
  4. Step 4: Simplify right side
    1,290.12x = 1,824,731.71
  5. Step 5: Solve for x
    x = 1,824,731.71/1,290.12
  6. Step 6: Final answer
    x = 1,414.39

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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.