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Finding the Fourth Proportional to 1,769.60, 2,654.40 and 948.26

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Solution

The fourth proportional to 1,769.60, 2,654.40 and 948.26 is: 1,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.60 : 2,654.40 = 948.26 : x
  2. Step 2: Convert to fraction form
    1,769.60/2,654.40 = 948.26/x
  3. Step 3: Cross multiply
    1,769.60x = 2,654.40 × 948.26
  4. Step 4: Simplify right side
    1,769.60x = 2,517,061.34
  5. Step 5: Solve for x
    x = 2,517,061.34/1,769.60
  6. Step 6: Final answer
    x = 1,422.39

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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.