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Finding the Fourth Proportional to 1,056.60, 1,578.78 and 762.71

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Solution

The fourth proportional to 1,056.60, 1,578.78 and 762.71 is: 1,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.60 : 1,578.78 = 762.71 : x
  2. Step 2: Convert to fraction form
    1,056.60/1,578.78 = 762.71/x
  3. Step 3: Cross multiply
    1,056.60x = 1,578.78 × 762.71
  4. Step 4: Simplify right side
    1,056.60x = 1,204,143.40
  5. Step 5: Solve for x
    x = 1,204,143.40/1,056.60
  6. Step 6: Final answer
    x = 1,139.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.