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Finding the Fourth Proportional to 1,313.97, 1,970.43 and 491.77

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Solution

The fourth proportional to 1,313.97, 1,970.43 and 491.77 is: 737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.97 : 1,970.43 = 491.77 : x
  2. Step 2: Convert to fraction form
    1,313.97/1,970.43 = 491.77/x
  3. Step 3: Cross multiply
    1,313.97x = 1,970.43 × 491.77
  4. Step 4: Simplify right side
    1,313.97x = 968,998.98
  5. Step 5: Solve for x
    x = 968,998.98/1,313.97
  6. Step 6: Final answer
    x = 737.46

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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.