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Finding the Fourth Proportional to 587.26, 809.31 and 508.33

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Solution

The fourth proportional to 587.26, 809.31 and 508.33 is: 700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.26 : 809.31 = 508.33 : x
  2. Step 2: Convert to fraction form
    587.26/809.31 = 508.33/x
  3. Step 3: Cross multiply
    587.26x = 809.31 × 508.33
  4. Step 4: Simplify right side
    587.26x = 411,396.55
  5. Step 5: Solve for x
    x = 411,396.55/587.26
  6. Step 6: Final answer
    x = 700.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.