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Finding the Fourth Proportional to 1,313.91, 1,970.91 and 665.10

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Solution

The fourth proportional to 1,313.91, 1,970.91 and 665.10 is: 997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.91 : 1,970.91 = 665.10 : x
  2. Step 2: Convert to fraction form
    1,313.91/1,970.91 = 665.10/x
  3. Step 3: Cross multiply
    1,313.91x = 1,970.91 × 665.10
  4. Step 4: Simplify right side
    1,313.91x = 1,310,852.24
  5. Step 5: Solve for x
    x = 1,310,852.24/1,313.91
  6. Step 6: Final answer
    x = 997.67

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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.