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Finding the Fourth Proportional to 508.88, 699.26 and 415.44

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Solution

The fourth proportional to 508.88, 699.26 and 415.44 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.88 : 699.26 = 415.44 : x
  2. Step 2: Convert to fraction form
    508.88/699.26 = 415.44/x
  3. Step 3: Cross multiply
    508.88x = 699.26 × 415.44
  4. Step 4: Simplify right side
    508.88x = 290,500.57
  5. Step 5: Solve for x
    x = 290,500.57/508.88
  6. Step 6: Final answer
    x = 570.86

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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.