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Finding the Fourth Proportional to 1,283.14, 1,921.98 and 794.70

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Solution

The fourth proportional to 1,283.14, 1,921.98 and 794.70 is: 1,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.14 : 1,921.98 = 794.70 : x
  2. Step 2: Convert to fraction form
    1,283.14/1,921.98 = 794.70/x
  3. Step 3: Cross multiply
    1,283.14x = 1,921.98 × 794.70
  4. Step 4: Simplify right side
    1,283.14x = 1,527,397.51
  5. Step 5: Solve for x
    x = 1,527,397.51/1,283.14
  6. Step 6: Final answer
    x = 1,190.36

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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.