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Finding the Fourth Proportional to 433.20, 594.15 and 409.68

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Solution

The fourth proportional to 433.20, 594.15 and 409.68 is: 561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 594.15 = 409.68 : x
  2. Step 2: Convert to fraction form
    433.20/594.15 = 409.68/x
  3. Step 3: Cross multiply
    433.20x = 594.15 × 409.68
  4. Step 4: Simplify right side
    433.20x = 243,411.37
  5. Step 5: Solve for x
    x = 243,411.37/433.20
  6. Step 6: Final answer
    x = 561.89

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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.