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Finding the Fourth Proportional to 431.06, 597.62 and 416.03

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Solution

The fourth proportional to 431.06, 597.62 and 416.03 is: 576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 597.62 = 416.03 : x
  2. Step 2: Convert to fraction form
    431.06/597.62 = 416.03/x
  3. Step 3: Cross multiply
    431.06x = 597.62 × 416.03
  4. Step 4: Simplify right side
    431.06x = 248,627.85
  5. Step 5: Solve for x
    x = 248,627.85/431.06
  6. Step 6: Final answer
    x = 576.78

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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.