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Finding the Fourth Proportional to 785.37, 1,178.79 and 374.79

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Solution

The fourth proportional to 785.37, 1,178.79 and 374.79 is: 562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.37 : 1,178.79 = 374.79 : x
  2. Step 2: Convert to fraction form
    785.37/1,178.79 = 374.79/x
  3. Step 3: Cross multiply
    785.37x = 1,178.79 × 374.79
  4. Step 4: Simplify right side
    785.37x = 441,798.70
  5. Step 5: Solve for x
    x = 441,798.70/785.37
  6. Step 6: Final answer
    x = 562.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.