Home / 1,102.16-1,653.34-371.54

Finding the Fourth Proportional to 1,102.16, 1,653.34 and 371.54

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Solution

The fourth proportional to 1,102.16, 1,653.34 and 371.54 is: 557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.16 : 1,653.34 = 371.54 : x
  2. Step 2: Convert to fraction form
    1,102.16/1,653.34 = 371.54/x
  3. Step 3: Cross multiply
    1,102.16x = 1,653.34 × 371.54
  4. Step 4: Simplify right side
    1,102.16x = 614,281.94
  5. Step 5: Solve for x
    x = 614,281.94/1,102.16
  6. Step 6: Final answer
    x = 557.34

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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.