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Finding the Fourth Proportional to 1,043.08, 1,435.22 and 1,018.47

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Solution

The fourth proportional to 1,043.08, 1,435.22 and 1,018.47 is: 1,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.08 : 1,435.22 = 1,018.47 : x
  2. Step 2: Convert to fraction form
    1,043.08/1,435.22 = 1,018.47/x
  3. Step 3: Cross multiply
    1,043.08x = 1,435.22 × 1,018.47
  4. Step 4: Simplify right side
    1,043.08x = 1,461,732.62
  5. Step 5: Solve for x
    x = 1,461,732.62/1,043.08
  6. Step 6: Final answer
    x = 1,401.37

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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.