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Finding the Fourth Proportional to 784.80, 1,177.21 and 236.98

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Solution

The fourth proportional to 784.80, 1,177.21 and 236.98 is: 355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.80 : 1,177.21 = 236.98 : x
  2. Step 2: Convert to fraction form
    784.80/1,177.21 = 236.98/x
  3. Step 3: Cross multiply
    784.80x = 1,177.21 × 236.98
  4. Step 4: Simplify right side
    784.80x = 278,969.34
  5. Step 5: Solve for x
    x = 278,969.34/784.80
  6. Step 6: Final answer
    x = 355.47

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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.