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Finding the Fourth Proportional to 1,372.15, 2,057.01 and 712.63

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Solution

The fourth proportional to 1,372.15, 2,057.01 and 712.63 is: 1,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.15 : 2,057.01 = 712.63 : x
  2. Step 2: Convert to fraction form
    1,372.15/2,057.01 = 712.63/x
  3. Step 3: Cross multiply
    1,372.15x = 2,057.01 × 712.63
  4. Step 4: Simplify right side
    1,372.15x = 1,465,890.94
  5. Step 5: Solve for x
    x = 1,465,890.94/1,372.15
  6. Step 6: Final answer
    x = 1,068.32

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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.