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Finding the Fourth Proportional to 488.58, 678.98 and 482.46

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Solution

The fourth proportional to 488.58, 678.98 and 482.46 is: 670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.58 : 678.98 = 482.46 : x
  2. Step 2: Convert to fraction form
    488.58/678.98 = 482.46/x
  3. Step 3: Cross multiply
    488.58x = 678.98 × 482.46
  4. Step 4: Simplify right side
    488.58x = 327,578.28
  5. Step 5: Solve for x
    x = 327,578.28/488.58
  6. Step 6: Final answer
    x = 670.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.