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Finding the Fourth Proportional to 764.95, 1,147.63 and 374.94

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Solution

The fourth proportional to 764.95, 1,147.63 and 374.94 is: 562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.95 : 1,147.63 = 374.94 : x
  2. Step 2: Convert to fraction form
    764.95/1,147.63 = 374.94/x
  3. Step 3: Cross multiply
    764.95x = 1,147.63 × 374.94
  4. Step 4: Simplify right side
    764.95x = 430,286.65
  5. Step 5: Solve for x
    x = 430,286.65/764.95
  6. Step 6: Final answer
    x = 562.50

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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.