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Finding the Fourth Proportional to 389.82, 581.34 and 384.59

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Solution

The fourth proportional to 389.82, 581.34 and 384.59 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.82 : 581.34 = 384.59 : x
  2. Step 2: Convert to fraction form
    389.82/581.34 = 384.59/x
  3. Step 3: Cross multiply
    389.82x = 581.34 × 384.59
  4. Step 4: Simplify right side
    389.82x = 223,573.20
  5. Step 5: Solve for x
    x = 223,573.20/389.82
  6. Step 6: Final answer
    x = 573.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.