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Finding the Fourth Proportional to 488.54, 674.32 and 313.88

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Solution

The fourth proportional to 488.54, 674.32 and 313.88 is: 433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 674.32 = 313.88 : x
  2. Step 2: Convert to fraction form
    488.54/674.32 = 313.88/x
  3. Step 3: Cross multiply
    488.54x = 674.32 × 313.88
  4. Step 4: Simplify right side
    488.54x = 211,655.56
  5. Step 5: Solve for x
    x = 211,655.56/488.54
  6. Step 6: Final answer
    x = 433.24

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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.