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Finding the Fourth Proportional to 1,528.47, 2,290.88 and 796.74

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Solution

The fourth proportional to 1,528.47, 2,290.88 and 796.74 is: 1,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.47 : 2,290.88 = 796.74 : x
  2. Step 2: Convert to fraction form
    1,528.47/2,290.88 = 796.74/x
  3. Step 3: Cross multiply
    1,528.47x = 2,290.88 × 796.74
  4. Step 4: Simplify right side
    1,528.47x = 1,825,229.13
  5. Step 5: Solve for x
    x = 1,825,229.13/1,528.47
  6. Step 6: Final answer
    x = 1,194.15

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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.