Home / 1,313.48-1,970.80-664.66

Finding the Fourth Proportional to 1,313.48, 1,970.80 and 664.66

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Solution

The fourth proportional to 1,313.48, 1,970.80 and 664.66 is: 997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.48 : 1,970.80 = 664.66 : x
  2. Step 2: Convert to fraction form
    1,313.48/1,970.80 = 664.66/x
  3. Step 3: Cross multiply
    1,313.48x = 1,970.80 × 664.66
  4. Step 4: Simplify right side
    1,313.48x = 1,309,911.93
  5. Step 5: Solve for x
    x = 1,309,911.93/1,313.48
  6. Step 6: Final answer
    x = 997.28

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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.