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Finding the Fourth Proportional to 909.97, 1,365.43 and 423.37

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Solution

The fourth proportional to 909.97, 1,365.43 and 423.37 is: 635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.97 : 1,365.43 = 423.37 : x
  2. Step 2: Convert to fraction form
    909.97/1,365.43 = 423.37/x
  3. Step 3: Cross multiply
    909.97x = 1,365.43 × 423.37
  4. Step 4: Simplify right side
    909.97x = 578,079.98
  5. Step 5: Solve for x
    x = 578,079.98/909.97
  6. Step 6: Final answer
    x = 635.27

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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.