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Finding the Fourth Proportional to 427.58, 589.77 and 345.56

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Solution

The fourth proportional to 427.58, 589.77 and 345.56 is: 476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.58 : 589.77 = 345.56 : x
  2. Step 2: Convert to fraction form
    427.58/589.77 = 345.56/x
  3. Step 3: Cross multiply
    427.58x = 589.77 × 345.56
  4. Step 4: Simplify right side
    427.58x = 203,800.92
  5. Step 5: Solve for x
    x = 203,800.92/427.58
  6. Step 6: Final answer
    x = 476.64

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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.