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Finding the Fourth Proportional to 893.70, 1,341.42 and 431.81

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Solution

The fourth proportional to 893.70, 1,341.42 and 431.81 is: 648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,341.42 = 431.81 : x
  2. Step 2: Convert to fraction form
    893.70/1,341.42 = 431.81/x
  3. Step 3: Cross multiply
    893.70x = 1,341.42 × 431.81
  4. Step 4: Simplify right side
    893.70x = 579,241.92
  5. Step 5: Solve for x
    x = 579,241.92/893.70
  6. Step 6: Final answer
    x = 648.14

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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.