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Finding the Fourth Proportional to 942.94, 1,411.89 and 552.62

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Solution

The fourth proportional to 942.94, 1,411.89 and 552.62 is: 827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.94 : 1,411.89 = 552.62 : x
  2. Step 2: Convert to fraction form
    942.94/1,411.89 = 552.62/x
  3. Step 3: Cross multiply
    942.94x = 1,411.89 × 552.62
  4. Step 4: Simplify right side
    942.94x = 780,238.65
  5. Step 5: Solve for x
    x = 780,238.65/942.94
  6. Step 6: Final answer
    x = 827.45

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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.