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Finding the Fourth Proportional to 433.49, 597.71 and 322.61

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Solution

The fourth proportional to 433.49, 597.71 and 322.61 is: 444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 597.71 = 322.61 : x
  2. Step 2: Convert to fraction form
    433.49/597.71 = 322.61/x
  3. Step 3: Cross multiply
    433.49x = 597.71 × 322.61
  4. Step 4: Simplify right side
    433.49x = 192,825.04
  5. Step 5: Solve for x
    x = 192,825.04/433.49
  6. Step 6: Final answer
    x = 444.83

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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.