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Finding the Fourth Proportional to 1,081.95, 1,622.58 and 351.35

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Solution

The fourth proportional to 1,081.95, 1,622.58 and 351.35 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.95 : 1,622.58 = 351.35 : x
  2. Step 2: Convert to fraction form
    1,081.95/1,622.58 = 351.35/x
  3. Step 3: Cross multiply
    1,081.95x = 1,622.58 × 351.35
  4. Step 4: Simplify right side
    1,081.95x = 570,090.14
  5. Step 5: Solve for x
    x = 570,090.14/1,081.95
  6. Step 6: Final answer
    x = 526.91

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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.