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Finding the Fourth Proportional to 488.45, 673.70 and 313.70

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Solution

The fourth proportional to 488.45, 673.70 and 313.70 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.45 : 673.70 = 313.70 : x
  2. Step 2: Convert to fraction form
    488.45/673.70 = 313.70/x
  3. Step 3: Cross multiply
    488.45x = 673.70 × 313.70
  4. Step 4: Simplify right side
    488.45x = 211,338.12
  5. Step 5: Solve for x
    x = 211,338.12/488.45
  6. Step 6: Final answer
    x = 432.67

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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.