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Finding the Fourth Proportional to 1,043.67, 1,447.14 and 1,008.98

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Solution

The fourth proportional to 1,043.67, 1,447.14 and 1,008.98 is: 1,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.67 : 1,447.14 = 1,008.98 : x
  2. Step 2: Convert to fraction form
    1,043.67/1,447.14 = 1,008.98/x
  3. Step 3: Cross multiply
    1,043.67x = 1,447.14 × 1,008.98
  4. Step 4: Simplify right side
    1,043.67x = 1,460,128.08
  5. Step 5: Solve for x
    x = 1,460,128.08/1,043.67
  6. Step 6: Final answer
    x = 1,399.03

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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.