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Finding the Fourth Proportional to 469.44, 648 and 345.60

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Solution

The fourth proportional to 469.44, 648 and 345.60 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.44 : 648 = 345.60 : x
  2. Step 2: Convert to fraction form
    469.44/648 = 345.60/x
  3. Step 3: Cross multiply
    469.44x = 648 × 345.60
  4. Step 4: Simplify right side
    469.44x = 223,948.80
  5. Step 5: Solve for x
    x = 223,948.80/469.44
  6. Step 6: Final answer
    x = 477.06

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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.