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Finding the Fourth Proportional to 607.44, 839.04 and 464.78

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Solution

The fourth proportional to 607.44, 839.04 and 464.78 is: 641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.44 : 839.04 = 464.78 : x
  2. Step 2: Convert to fraction form
    607.44/839.04 = 464.78/x
  3. Step 3: Cross multiply
    607.44x = 839.04 × 464.78
  4. Step 4: Simplify right side
    607.44x = 389,965.32
  5. Step 5: Solve for x
    x = 389,965.32/607.44
  6. Step 6: Final answer
    x = 641.98

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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.