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Finding the Fourth Proportional to 1,018.29, 1,412.44 and 981.40

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Solution

The fourth proportional to 1,018.29, 1,412.44 and 981.40 is: 1,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.29 : 1,412.44 = 981.40 : x
  2. Step 2: Convert to fraction form
    1,018.29/1,412.44 = 981.40/x
  3. Step 3: Cross multiply
    1,018.29x = 1,412.44 × 981.40
  4. Step 4: Simplify right side
    1,018.29x = 1,386,168.62
  5. Step 5: Solve for x
    x = 1,386,168.62/1,018.29
  6. Step 6: Final answer
    x = 1,361.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.