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Finding the Fourth Proportional to 488.92, 673.44 and 464.20

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Solution

The fourth proportional to 488.92, 673.44 and 464.20 is: 639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.92 : 673.44 = 464.20 : x
  2. Step 2: Convert to fraction form
    488.92/673.44 = 464.20/x
  3. Step 3: Cross multiply
    488.92x = 673.44 × 464.20
  4. Step 4: Simplify right side
    488.92x = 312,610.85
  5. Step 5: Solve for x
    x = 312,610.85/488.92
  6. Step 6: Final answer
    x = 639.39

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1.5x scale

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.