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Finding the Fourth Proportional to 431.28, 598.32 and 415.44

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Solution

The fourth proportional to 431.28, 598.32 and 415.44 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.28 : 598.32 = 415.44 : x
  2. Step 2: Convert to fraction form
    431.28/598.32 = 415.44/x
  3. Step 3: Cross multiply
    431.28x = 598.32 × 415.44
  4. Step 4: Simplify right side
    431.28x = 248,566.06
  5. Step 5: Solve for x
    x = 248,566.06/431.28
  6. Step 6: Final answer
    x = 576.34

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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.