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Finding the Fourth Proportional to 486.44, 670.95 and 311.70

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Solution

The fourth proportional to 486.44, 670.95 and 311.70 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.44 : 670.95 = 311.70 : x
  2. Step 2: Convert to fraction form
    486.44/670.95 = 311.70/x
  3. Step 3: Cross multiply
    486.44x = 670.95 × 311.70
  4. Step 4: Simplify right side
    486.44x = 209,135.12
  5. Step 5: Solve for x
    x = 209,135.12/486.44
  6. Step 6: Final answer
    x = 429.93

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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.