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Finding the Fourth Proportional to 469.62, 648.26 and 420.41

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Solution

The fourth proportional to 469.62, 648.26 and 420.41 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.62 : 648.26 = 420.41 : x
  2. Step 2: Convert to fraction form
    469.62/648.26 = 420.41/x
  3. Step 3: Cross multiply
    469.62x = 648.26 × 420.41
  4. Step 4: Simplify right side
    469.62x = 272,529.64
  5. Step 5: Solve for x
    x = 272,529.64/469.62
  6. Step 6: Final answer
    x = 580.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.