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Finding the Fourth Proportional to 1,356.82, 2,035.21 and 432.37

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Solution

The fourth proportional to 1,356.82, 2,035.21 and 432.37 is: 648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.82 : 2,035.21 = 432.37 : x
  2. Step 2: Convert to fraction form
    1,356.82/2,035.21 = 432.37/x
  3. Step 3: Cross multiply
    1,356.82x = 2,035.21 × 432.37
  4. Step 4: Simplify right side
    1,356.82x = 879,952.49
  5. Step 5: Solve for x
    x = 879,952.49/1,356.82
  6. Step 6: Final answer
    x = 648.54

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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.