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Finding the Fourth Proportional to 488.78, 674.55 and 314.06

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Solution

The fourth proportional to 488.78, 674.55 and 314.06 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.78 : 674.55 = 314.06 : x
  2. Step 2: Convert to fraction form
    488.78/674.55 = 314.06/x
  3. Step 3: Cross multiply
    488.78x = 674.55 × 314.06
  4. Step 4: Simplify right side
    488.78x = 211,849.17
  5. Step 5: Solve for x
    x = 211,849.17/488.78
  6. Step 6: Final answer
    x = 433.42

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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.