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Finding the Fourth Proportional to 478.76, 659.93 and 338.58

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Solution

The fourth proportional to 478.76, 659.93 and 338.58 is: 466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.76 : 659.93 = 338.58 : x
  2. Step 2: Convert to fraction form
    478.76/659.93 = 338.58/x
  3. Step 3: Cross multiply
    478.76x = 659.93 × 338.58
  4. Step 4: Simplify right side
    478.76x = 223,435.80
  5. Step 5: Solve for x
    x = 223,435.80/478.76
  6. Step 6: Final answer
    x = 466.70

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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.