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Finding the Fourth Proportional to 1,005.89, 1,388.84 and 675.11

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Solution

The fourth proportional to 1,005.89, 1,388.84 and 675.11 is: 932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.89 : 1,388.84 = 675.11 : x
  2. Step 2: Convert to fraction form
    1,005.89/1,388.84 = 675.11/x
  3. Step 3: Cross multiply
    1,005.89x = 1,388.84 × 675.11
  4. Step 4: Simplify right side
    1,005.89x = 937,609.45
  5. Step 5: Solve for x
    x = 937,609.45/1,005.89
  6. Step 6: Final answer
    x = 932.12

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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.