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Finding the Fourth Proportional to 438.56, 654.34 and 384.56

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Solution

The fourth proportional to 438.56, 654.34 and 384.56 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 654.34 = 384.56 : x
  2. Step 2: Convert to fraction form
    438.56/654.34 = 384.56/x
  3. Step 3: Cross multiply
    438.56x = 654.34 × 384.56
  4. Step 4: Simplify right side
    438.56x = 251,632.99
  5. Step 5: Solve for x
    x = 251,632.99/438.56
  6. Step 6: Final answer
    x = 573.77

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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.