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Finding the Fourth Proportional to 784.58, 1,176.64 and 236.63

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Solution

The fourth proportional to 784.58, 1,176.64 and 236.63 is: 354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.58 : 1,176.64 = 236.63 : x
  2. Step 2: Convert to fraction form
    784.58/1,176.64 = 236.63/x
  3. Step 3: Cross multiply
    784.58x = 1,176.64 × 236.63
  4. Step 4: Simplify right side
    784.58x = 278,428.32
  5. Step 5: Solve for x
    x = 278,428.32/784.58
  6. Step 6: Final answer
    x = 354.88

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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.