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Finding the Fourth Proportional to 433.44, 647.64 and 337.32

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Solution

The fourth proportional to 433.44, 647.64 and 337.32 is: 504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 647.64 = 337.32 : x
  2. Step 2: Convert to fraction form
    433.44/647.64 = 337.32/x
  3. Step 3: Cross multiply
    433.44x = 647.64 × 337.32
  4. Step 4: Simplify right side
    433.44x = 218,461.92
  5. Step 5: Solve for x
    x = 218,461.92/433.44
  6. Step 6: Final answer
    x = 504.02

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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.