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Finding the Fourth Proportional to 433.40, 594.89 and 400.56

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Solution

The fourth proportional to 433.40, 594.89 and 400.56 is: 549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 594.89 = 400.56 : x
  2. Step 2: Convert to fraction form
    433.40/594.89 = 400.56/x
  3. Step 3: Cross multiply
    433.40x = 594.89 × 400.56
  4. Step 4: Simplify right side
    433.40x = 238,289.14
  5. Step 5: Solve for x
    x = 238,289.14/433.40
  6. Step 6: Final answer
    x = 549.81

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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.