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Finding the Fourth Proportional to 469.41, 648.05 and 314.25

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Solution

The fourth proportional to 469.41, 648.05 and 314.25 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.41 : 648.05 = 314.25 : x
  2. Step 2: Convert to fraction form
    469.41/648.05 = 314.25/x
  3. Step 3: Cross multiply
    469.41x = 648.05 × 314.25
  4. Step 4: Simplify right side
    469.41x = 203,648.14
  5. Step 5: Solve for x
    x = 203,648.14/469.41
  6. Step 6: Final answer
    x = 433.84

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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.