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Finding the Fourth Proportional to 466.32, 697.86 and 388.56

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Solution

The fourth proportional to 466.32, 697.86 and 388.56 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 697.86 = 388.56 : x
  2. Step 2: Convert to fraction form
    466.32/697.86 = 388.56/x
  3. Step 3: Cross multiply
    466.32x = 697.86 × 388.56
  4. Step 4: Simplify right side
    466.32x = 271,160.48
  5. Step 5: Solve for x
    x = 271,160.48/466.32
  6. Step 6: Final answer
    x = 581.49

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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.