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Finding the Fourth Proportional to 559.09, 842.15 and 508.06

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Solution

The fourth proportional to 559.09, 842.15 and 508.06 is: 765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.09 : 842.15 = 508.06 : x
  2. Step 2: Convert to fraction form
    559.09/842.15 = 508.06/x
  3. Step 3: Cross multiply
    559.09x = 842.15 × 508.06
  4. Step 4: Simplify right side
    559.09x = 427,862.73
  5. Step 5: Solve for x
    x = 427,862.73/559.09
  6. Step 6: Final answer
    x = 765.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.