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Finding the Fourth Proportional to 559.64, 840.21 and 385.87

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Solution

The fourth proportional to 559.64, 840.21 and 385.87 is: 579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 840.21 = 385.87 : x
  2. Step 2: Convert to fraction form
    559.64/840.21 = 385.87/x
  3. Step 3: Cross multiply
    559.64x = 840.21 × 385.87
  4. Step 4: Simplify right side
    559.64x = 324,214.33
  5. Step 5: Solve for x
    x = 324,214.33/559.64
  6. Step 6: Final answer
    x = 579.33

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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.