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Finding the Fourth Proportional to 1,005.76, 1,389.06 and 992.11

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Solution

The fourth proportional to 1,005.76, 1,389.06 and 992.11 is: 1,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.76 : 1,389.06 = 992.11 : x
  2. Step 2: Convert to fraction form
    1,005.76/1,389.06 = 992.11/x
  3. Step 3: Cross multiply
    1,005.76x = 1,389.06 × 992.11
  4. Step 4: Simplify right side
    1,005.76x = 1,378,100.32
  5. Step 5: Solve for x
    x = 1,378,100.32/1,005.76
  6. Step 6: Final answer
    x = 1,370.21

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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.