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Finding the Fourth Proportional to 483.88, 664.64 and 474.66

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Solution

The fourth proportional to 483.88, 664.64 and 474.66 is: 651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.88 : 664.64 = 474.66 : x
  2. Step 2: Convert to fraction form
    483.88/664.64 = 474.66/x
  3. Step 3: Cross multiply
    483.88x = 664.64 × 474.66
  4. Step 4: Simplify right side
    483.88x = 315,478.02
  5. Step 5: Solve for x
    x = 315,478.02/483.88
  6. Step 6: Final answer
    x = 651.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.