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Finding the Fourth Proportional to 433.55, 652.68 and 397.19

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Solution

The fourth proportional to 433.55, 652.68 and 397.19 is: 597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.55 : 652.68 = 397.19 : x
  2. Step 2: Convert to fraction form
    433.55/652.68 = 397.19/x
  3. Step 3: Cross multiply
    433.55x = 652.68 × 397.19
  4. Step 4: Simplify right side
    433.55x = 259,237.97
  5. Step 5: Solve for x
    x = 259,237.97/433.55
  6. Step 6: Final answer
    x = 597.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.