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Finding the Fourth Proportional to 1,314.22, 1,971.42 and 448.42

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Solution

The fourth proportional to 1,314.22, 1,971.42 and 448.42 is: 672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.22 : 1,971.42 = 448.42 : x
  2. Step 2: Convert to fraction form
    1,314.22/1,971.42 = 448.42/x
  3. Step 3: Cross multiply
    1,314.22x = 1,971.42 × 448.42
  4. Step 4: Simplify right side
    1,314.22x = 884,024.16
  5. Step 5: Solve for x
    x = 884,024.16/1,314.22
  6. Step 6: Final answer
    x = 672.66

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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.