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Finding the Fourth Proportional to 588.21, 882.27 and 259.47

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Solution

The fourth proportional to 588.21, 882.27 and 259.47 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 882.27 = 259.47 : x
  2. Step 2: Convert to fraction form
    588.21/882.27 = 259.47/x
  3. Step 3: Cross multiply
    588.21x = 882.27 × 259.47
  4. Step 4: Simplify right side
    588.21x = 228,922.60
  5. Step 5: Solve for x
    x = 228,922.60/588.21
  6. Step 6: Final answer
    x = 389.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.