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Finding the Fourth Proportional to 559.05, 770.63 and 384.09

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Solution

The fourth proportional to 559.05, 770.63 and 384.09 is: 529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 770.63 = 384.09 : x
  2. Step 2: Convert to fraction form
    559.05/770.63 = 384.09/x
  3. Step 3: Cross multiply
    559.05x = 770.63 × 384.09
  4. Step 4: Simplify right side
    559.05x = 295,989.36
  5. Step 5: Solve for x
    x = 295,989.36/559.05
  6. Step 6: Final answer
    x = 529.45

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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.