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Finding the Fourth Proportional to 415.88, 570.34 and 398.36

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Solution

The fourth proportional to 415.88, 570.34 and 398.36 is: 546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.88 : 570.34 = 398.36 : x
  2. Step 2: Convert to fraction form
    415.88/570.34 = 398.36/x
  3. Step 3: Cross multiply
    415.88x = 570.34 × 398.36
  4. Step 4: Simplify right side
    415.88x = 227,200.64
  5. Step 5: Solve for x
    x = 227,200.64/415.88
  6. Step 6: Final answer
    x = 546.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.