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Finding the Fourth Proportional to 785.65, 1,178.66 and 237.82

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Solution

The fourth proportional to 785.65, 1,178.66 and 237.82 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.65 : 1,178.66 = 237.82 : x
  2. Step 2: Convert to fraction form
    785.65/1,178.66 = 237.82/x
  3. Step 3: Cross multiply
    785.65x = 1,178.66 × 237.82
  4. Step 4: Simplify right side
    785.65x = 280,308.92
  5. Step 5: Solve for x
    x = 280,308.92/785.65
  6. Step 6: Final answer
    x = 356.79

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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.