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Finding the Fourth Proportional to 433.32, 597.33 and 285.69

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Solution

The fourth proportional to 433.32, 597.33 and 285.69 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.32 : 597.33 = 285.69 : x
  2. Step 2: Convert to fraction form
    433.32/597.33 = 285.69/x
  3. Step 3: Cross multiply
    433.32x = 597.33 × 285.69
  4. Step 4: Simplify right side
    433.32x = 170,651.21
  5. Step 5: Solve for x
    x = 170,651.21/433.32
  6. Step 6: Final answer
    x = 393.82

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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.