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Finding the Fourth Proportional to 784.52, 1,176.78 and 236.72

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Solution

The fourth proportional to 784.52, 1,176.78 and 236.72 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.52 : 1,176.78 = 236.72 : x
  2. Step 2: Convert to fraction form
    784.52/1,176.78 = 236.72/x
  3. Step 3: Cross multiply
    784.52x = 1,176.78 × 236.72
  4. Step 4: Simplify right side
    784.52x = 278,567.36
  5. Step 5: Solve for x
    x = 278,567.36/784.52
  6. Step 6: Final answer
    x = 355.08

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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.