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Finding the Fourth Proportional to 984.63, 1,477.08 and 779.58

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Solution

The fourth proportional to 984.63, 1,477.08 and 779.58 is: 1,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.63 : 1,477.08 = 779.58 : x
  2. Step 2: Convert to fraction form
    984.63/1,477.08 = 779.58/x
  3. Step 3: Cross multiply
    984.63x = 1,477.08 × 779.58
  4. Step 4: Simplify right side
    984.63x = 1,151,502.03
  5. Step 5: Solve for x
    x = 1,151,502.03/984.63
  6. Step 6: Final answer
    x = 1,169.48

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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.