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Finding the Fourth Proportional to 607.48, 909.54 and 422.96

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Solution

The fourth proportional to 607.48, 909.54 and 422.96 is: 633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.48 : 909.54 = 422.96 : x
  2. Step 2: Convert to fraction form
    607.48/909.54 = 422.96/x
  3. Step 3: Cross multiply
    607.48x = 909.54 × 422.96
  4. Step 4: Simplify right side
    607.48x = 384,699.04
  5. Step 5: Solve for x
    x = 384,699.04/607.48
  6. Step 6: Final answer
    x = 633.27

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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.