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Finding the Fourth Proportional to 997.63, 1,496.68 and 313.63

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Solution

The fourth proportional to 997.63, 1,496.68 and 313.63 is: 470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.63 : 1,496.68 = 313.63 : x
  2. Step 2: Convert to fraction form
    997.63/1,496.68 = 313.63/x
  3. Step 3: Cross multiply
    997.63x = 1,496.68 × 313.63
  4. Step 4: Simplify right side
    997.63x = 469,403.75
  5. Step 5: Solve for x
    x = 469,403.75/997.63
  6. Step 6: Final answer
    x = 470.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.