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Finding the Fourth Proportional to 1,181.07, 1,628.19 and 807.46

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Solution

The fourth proportional to 1,181.07, 1,628.19 and 807.46 is: 1,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.07 : 1,628.19 = 807.46 : x
  2. Step 2: Convert to fraction form
    1,181.07/1,628.19 = 807.46/x
  3. Step 3: Cross multiply
    1,181.07x = 1,628.19 × 807.46
  4. Step 4: Simplify right side
    1,181.07x = 1,314,698.30
  5. Step 5: Solve for x
    x = 1,314,698.30/1,181.07
  6. Step 6: Final answer
    x = 1,113.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.