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Finding the Fourth Proportional to 488.46, 673.80 and 313.50

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Solution

The fourth proportional to 488.46, 673.80 and 313.50 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.46 : 673.80 = 313.50 : x
  2. Step 2: Convert to fraction form
    488.46/673.80 = 313.50/x
  3. Step 3: Cross multiply
    488.46x = 673.80 × 313.50
  4. Step 4: Simplify right side
    488.46x = 211,236.30
  5. Step 5: Solve for x
    x = 211,236.30/488.46
  6. Step 6: Final answer
    x = 432.45

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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.