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Finding the Fourth Proportional to 607.41, 838.62 and 420.84

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Solution

The fourth proportional to 607.41, 838.62 and 420.84 is: 581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.41 : 838.62 = 420.84 : x
  2. Step 2: Convert to fraction form
    607.41/838.62 = 420.84/x
  3. Step 3: Cross multiply
    607.41x = 838.62 × 420.84
  4. Step 4: Simplify right side
    607.41x = 352,924.84
  5. Step 5: Solve for x
    x = 352,924.84/607.41
  6. Step 6: Final answer
    x = 581.03

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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.