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Finding the Fourth Proportional to 920.28, 1,378.26 and 766.20

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Solution

The fourth proportional to 920.28, 1,378.26 and 766.20 is: 1,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.28 : 1,378.26 = 766.20 : x
  2. Step 2: Convert to fraction form
    920.28/1,378.26 = 766.20/x
  3. Step 3: Cross multiply
    920.28x = 1,378.26 × 766.20
  4. Step 4: Simplify right side
    920.28x = 1,056,022.81
  5. Step 5: Solve for x
    x = 1,056,022.81/920.28
  6. Step 6: Final answer
    x = 1,147.50

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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.