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Finding the Fourth Proportional to 1,051.19, 1,576.38 and 348.24

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Solution

The fourth proportional to 1,051.19, 1,576.38 and 348.24 is: 522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.19 : 1,576.38 = 348.24 : x
  2. Step 2: Convert to fraction form
    1,051.19/1,576.38 = 348.24/x
  3. Step 3: Cross multiply
    1,051.19x = 1,576.38 × 348.24
  4. Step 4: Simplify right side
    1,051.19x = 548,958.57
  5. Step 5: Solve for x
    x = 548,958.57/1,051.19
  6. Step 6: Final answer
    x = 522.23

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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.