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Finding the Fourth Proportional to 1,331.46, 1,996.85 and 509.49

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Solution

The fourth proportional to 1,331.46, 1,996.85 and 509.49 is: 764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.46 : 1,996.85 = 509.49 : x
  2. Step 2: Convert to fraction form
    1,331.46/1,996.85 = 509.49/x
  3. Step 3: Cross multiply
    1,331.46x = 1,996.85 × 509.49
  4. Step 4: Simplify right side
    1,331.46x = 1,017,376.38
  5. Step 5: Solve for x
    x = 1,017,376.38/1,331.46
  6. Step 6: Final answer
    x = 764.11

Related Problems

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Double scale
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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.