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Finding the Fourth Proportional to 469.93, 648.69 and 318.55

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Solution

The fourth proportional to 469.93, 648.69 and 318.55 is: 439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.93 : 648.69 = 318.55 : x
  2. Step 2: Convert to fraction form
    469.93/648.69 = 318.55/x
  3. Step 3: Cross multiply
    469.93x = 648.69 × 318.55
  4. Step 4: Simplify right side
    469.93x = 206,640.20
  5. Step 5: Solve for x
    x = 206,640.20/469.93
  6. Step 6: Final answer
    x = 439.73

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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.