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Finding the Fourth Proportional to 784.17, 1,176.35 and 236.34

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Solution

The fourth proportional to 784.17, 1,176.35 and 236.34 is: 354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,176.35 = 236.34 : x
  2. Step 2: Convert to fraction form
    784.17/1,176.35 = 236.34/x
  3. Step 3: Cross multiply
    784.17x = 1,176.35 × 236.34
  4. Step 4: Simplify right side
    784.17x = 278,017.38
  5. Step 5: Solve for x
    x = 278,017.38/784.17
  6. Step 6: Final answer
    x = 354.54

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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.