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Finding the Fourth Proportional to 1,408.34, 2,112.32 and 368.41

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Solution

The fourth proportional to 1,408.34, 2,112.32 and 368.41 is: 552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.34 : 2,112.32 = 368.41 : x
  2. Step 2: Convert to fraction form
    1,408.34/2,112.32 = 368.41/x
  3. Step 3: Cross multiply
    1,408.34x = 2,112.32 × 368.41
  4. Step 4: Simplify right side
    1,408.34x = 778,199.81
  5. Step 5: Solve for x
    x = 778,199.81/1,408.34
  6. Step 6: Final answer
    x = 552.57

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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.