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Finding the Fourth Proportional to 874.34, 1,304.21 and 745.14

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Solution

The fourth proportional to 874.34, 1,304.21 and 745.14 is: 1,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.34 : 1,304.21 = 745.14 : x
  2. Step 2: Convert to fraction form
    874.34/1,304.21 = 745.14/x
  3. Step 3: Cross multiply
    874.34x = 1,304.21 × 745.14
  4. Step 4: Simplify right side
    874.34x = 971,815.31
  5. Step 5: Solve for x
    x = 971,815.31/874.34
  6. Step 6: Final answer
    x = 1,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.