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Finding the Fourth Proportional to 473.76, 653.73 and 274.55

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Solution

The fourth proportional to 473.76, 653.73 and 274.55 is: 378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 653.73 = 274.55 : x
  2. Step 2: Convert to fraction form
    473.76/653.73 = 274.55/x
  3. Step 3: Cross multiply
    473.76x = 653.73 × 274.55
  4. Step 4: Simplify right side
    473.76x = 179,478.30
  5. Step 5: Solve for x
    x = 179,478.30/473.76
  6. Step 6: Final answer
    x = 378.84

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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.