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Finding the Fourth Proportional to 1,051.78, 1,576.79 and 393.29

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Solution

The fourth proportional to 1,051.78, 1,576.79 and 393.29 is: 589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.78 : 1,576.79 = 393.29 : x
  2. Step 2: Convert to fraction form
    1,051.78/1,576.79 = 393.29/x
  3. Step 3: Cross multiply
    1,051.78x = 1,576.79 × 393.29
  4. Step 4: Simplify right side
    1,051.78x = 620,135.74
  5. Step 5: Solve for x
    x = 620,135.74/1,051.78
  6. Step 6: Final answer
    x = 589.61

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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.