Home / 1,497.60-2,244.78-766.17

Finding the Fourth Proportional to 1,497.60, 2,244.78 and 766.17

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Solution

The fourth proportional to 1,497.60, 2,244.78 and 766.17 is: 1,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.60 : 2,244.78 = 766.17 : x
  2. Step 2: Convert to fraction form
    1,497.60/2,244.78 = 766.17/x
  3. Step 3: Cross multiply
    1,497.60x = 2,244.78 × 766.17
  4. Step 4: Simplify right side
    1,497.60x = 1,719,883.09
  5. Step 5: Solve for x
    x = 1,719,883.09/1,497.60
  6. Step 6: Final answer
    x = 1,148.43

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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.