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Finding the Fourth Proportional to 437.56, 608.02 and 433.12

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Solution

The fourth proportional to 437.56, 608.02 and 433.12 is: 601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.56 : 608.02 = 433.12 : x
  2. Step 2: Convert to fraction form
    437.56/608.02 = 433.12/x
  3. Step 3: Cross multiply
    437.56x = 608.02 × 433.12
  4. Step 4: Simplify right side
    437.56x = 263,345.62
  5. Step 5: Solve for x
    x = 263,345.62/437.56
  6. Step 6: Final answer
    x = 601.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.