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Finding the Fourth Proportional to 433.34, 594.76 and 385.64

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Solution

The fourth proportional to 433.34, 594.76 and 385.64 is: 529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.34 : 594.76 = 385.64 : x
  2. Step 2: Convert to fraction form
    433.34/594.76 = 385.64/x
  3. Step 3: Cross multiply
    433.34x = 594.76 × 385.64
  4. Step 4: Simplify right side
    433.34x = 229,363.25
  5. Step 5: Solve for x
    x = 229,363.25/433.34
  6. Step 6: Final answer
    x = 529.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.