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Finding the Fourth Proportional to 784.81, 1,177.14 and 236.98

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Solution

The fourth proportional to 784.81, 1,177.14 and 236.98 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.81 : 1,177.14 = 236.98 : x
  2. Step 2: Convert to fraction form
    784.81/1,177.14 = 236.98/x
  3. Step 3: Cross multiply
    784.81x = 1,177.14 × 236.98
  4. Step 4: Simplify right side
    784.81x = 278,958.64
  5. Step 5: Solve for x
    x = 278,958.64/784.81
  6. Step 6: Final answer
    x = 355.45

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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.