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Finding the Fourth Proportional to 478.06, 658.74 and 330.64

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Solution

The fourth proportional to 478.06, 658.74 and 330.64 is: 455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.06 : 658.74 = 330.64 : x
  2. Step 2: Convert to fraction form
    478.06/658.74 = 330.64/x
  3. Step 3: Cross multiply
    478.06x = 658.74 × 330.64
  4. Step 4: Simplify right side
    478.06x = 217,805.79
  5. Step 5: Solve for x
    x = 217,805.79/478.06
  6. Step 6: Final answer
    x = 455.60

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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.