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Finding the Fourth Proportional to 1,372.80, 2,058.51 and 448.23

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Solution

The fourth proportional to 1,372.80, 2,058.51 and 448.23 is: 672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.80 : 2,058.51 = 448.23 : x
  2. Step 2: Convert to fraction form
    1,372.80/2,058.51 = 448.23/x
  3. Step 3: Cross multiply
    1,372.80x = 2,058.51 × 448.23
  4. Step 4: Simplify right side
    1,372.80x = 922,695.34
  5. Step 5: Solve for x
    x = 922,695.34/1,372.80
  6. Step 6: Final answer
    x = 672.13

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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.