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Finding the Fourth Proportional to 2,976.78, 4,464.80 and 785.68

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Solution

The fourth proportional to 2,976.78, 4,464.80 and 785.68 is: 1,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.78 : 4,464.80 = 785.68 : x
  2. Step 2: Convert to fraction form
    2,976.78/4,464.80 = 785.68/x
  3. Step 3: Cross multiply
    2,976.78x = 4,464.80 × 785.68
  4. Step 4: Simplify right side
    2,976.78x = 3,507,904.06
  5. Step 5: Solve for x
    x = 3,507,904.06/2,976.78
  6. Step 6: Final answer
    x = 1,178.42

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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.