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Finding the Fourth Proportional to 433.07, 597.21 and 386.90

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Solution

The fourth proportional to 433.07, 597.21 and 386.90 is: 533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.07 : 597.21 = 386.90 : x
  2. Step 2: Convert to fraction form
    433.07/597.21 = 386.90/x
  3. Step 3: Cross multiply
    433.07x = 597.21 × 386.90
  4. Step 4: Simplify right side
    433.07x = 231,057.56
  5. Step 5: Solve for x
    x = 231,057.56/433.07
  6. Step 6: Final answer
    x = 533.54

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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.