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Finding the Fourth Proportional to 784.09, 1,175.85 and 236.09

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Solution

The fourth proportional to 784.09, 1,175.85 and 236.09 is: 354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.09 : 1,175.85 = 236.09 : x
  2. Step 2: Convert to fraction form
    784.09/1,175.85 = 236.09/x
  3. Step 3: Cross multiply
    784.09x = 1,175.85 × 236.09
  4. Step 4: Simplify right side
    784.09x = 277,606.43
  5. Step 5: Solve for x
    x = 277,606.43/784.09
  6. Step 6: Final answer
    x = 354.05

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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.