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Finding the Fourth Proportional to 1,314.03, 1,971.05 and 544.47

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Solution

The fourth proportional to 1,314.03, 1,971.05 and 544.47 is: 816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.03 : 1,971.05 = 544.47 : x
  2. Step 2: Convert to fraction form
    1,314.03/1,971.05 = 544.47/x
  3. Step 3: Cross multiply
    1,314.03x = 1,971.05 × 544.47
  4. Step 4: Simplify right side
    1,314.03x = 1,073,174.87
  5. Step 5: Solve for x
    x = 1,073,174.87/1,314.03
  6. Step 6: Final answer
    x = 816.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.