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Finding the Fourth Proportional to 602.05, 830.74 and 336.48

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Solution

The fourth proportional to 602.05, 830.74 and 336.48 is: 464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.05 : 830.74 = 336.48 : x
  2. Step 2: Convert to fraction form
    602.05/830.74 = 336.48/x
  3. Step 3: Cross multiply
    602.05x = 830.74 × 336.48
  4. Step 4: Simplify right side
    602.05x = 279,527.40
  5. Step 5: Solve for x
    x = 279,527.40/602.05
  6. Step 6: Final answer
    x = 464.29

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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.