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Finding the Fourth Proportional to 1,313.10, 1,967.51 and 662.46

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Solution

The fourth proportional to 1,313.10, 1,967.51 and 662.46 is: 992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.10 : 1,967.51 = 662.46 : x
  2. Step 2: Convert to fraction form
    1,313.10/1,967.51 = 662.46/x
  3. Step 3: Cross multiply
    1,313.10x = 1,967.51 × 662.46
  4. Step 4: Simplify right side
    1,313.10x = 1,303,393.36
  5. Step 5: Solve for x
    x = 1,303,393.36/1,313.10
  6. Step 6: Final answer
    x = 992.61

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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.