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Finding the Fourth Proportional to 1,313.70, 1,812.96 and 920.82

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Solution

The fourth proportional to 1,313.70, 1,812.96 and 920.82 is: 1,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.70 : 1,812.96 = 920.82 : x
  2. Step 2: Convert to fraction form
    1,313.70/1,812.96 = 920.82/x
  3. Step 3: Cross multiply
    1,313.70x = 1,812.96 × 920.82
  4. Step 4: Simplify right side
    1,313.70x = 1,669,409.83
  5. Step 5: Solve for x
    x = 1,669,409.83/1,313.70
  6. Step 6: Final answer
    x = 1,270.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.