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Finding the Fourth Proportional to 466.74, 696.84 and 385.74

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Solution

The fourth proportional to 466.74, 696.84 and 385.74 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 696.84 = 385.74 : x
  2. Step 2: Convert to fraction form
    466.74/696.84 = 385.74/x
  3. Step 3: Cross multiply
    466.74x = 696.84 × 385.74
  4. Step 4: Simplify right side
    466.74x = 268,799.06
  5. Step 5: Solve for x
    x = 268,799.06/466.74
  6. Step 6: Final answer
    x = 575.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.