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Finding the Fourth Proportional to 488.78, 672.99 and 423.98

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Solution

The fourth proportional to 488.78, 672.99 and 423.98 is: 583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.78 : 672.99 = 423.98 : x
  2. Step 2: Convert to fraction form
    488.78/672.99 = 423.98/x
  3. Step 3: Cross multiply
    488.78x = 672.99 × 423.98
  4. Step 4: Simplify right side
    488.78x = 285,334.30
  5. Step 5: Solve for x
    x = 285,334.30/488.78
  6. Step 6: Final answer
    x = 583.77

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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.