Home / 1,052.31-1,577.67-358.79

Finding the Fourth Proportional to 1,052.31, 1,577.67 and 358.79

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Solution

The fourth proportional to 1,052.31, 1,577.67 and 358.79 is: 537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.31 : 1,577.67 = 358.79 : x
  2. Step 2: Convert to fraction form
    1,052.31/1,577.67 = 358.79/x
  3. Step 3: Cross multiply
    1,052.31x = 1,577.67 × 358.79
  4. Step 4: Simplify right side
    1,052.31x = 566,044.33
  5. Step 5: Solve for x
    x = 566,044.33/1,052.31
  6. Step 6: Final answer
    x = 537.91

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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.