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Finding the Fourth Proportional to 427.74, 590.61 and 354.48

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Solution

The fourth proportional to 427.74, 590.61 and 354.48 is: 489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.74 : 590.61 = 354.48 : x
  2. Step 2: Convert to fraction form
    427.74/590.61 = 354.48/x
  3. Step 3: Cross multiply
    427.74x = 590.61 × 354.48
  4. Step 4: Simplify right side
    427.74x = 209,359.43
  5. Step 5: Solve for x
    x = 209,359.43/427.74
  6. Step 6: Final answer
    x = 489.45

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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.