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Finding the Fourth Proportional to 488.72, 675.08 and 378.32

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Solution

The fourth proportional to 488.72, 675.08 and 378.32 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.72 : 675.08 = 378.32 : x
  2. Step 2: Convert to fraction form
    488.72/675.08 = 378.32/x
  3. Step 3: Cross multiply
    488.72x = 675.08 × 378.32
  4. Step 4: Simplify right side
    488.72x = 255,396.27
  5. Step 5: Solve for x
    x = 255,396.27/488.72
  6. Step 6: Final answer
    x = 522.58

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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.