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Finding the Fourth Proportional to 1,313.52, 1,811.73 and 893.61

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Solution

The fourth proportional to 1,313.52, 1,811.73 and 893.61 is: 1,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.52 : 1,811.73 = 893.61 : x
  2. Step 2: Convert to fraction form
    1,313.52/1,811.73 = 893.61/x
  3. Step 3: Cross multiply
    1,313.52x = 1,811.73 × 893.61
  4. Step 4: Simplify right side
    1,313.52x = 1,618,980.05
  5. Step 5: Solve for x
    x = 1,618,980.05/1,313.52
  6. Step 6: Final answer
    x = 1,232.55

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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.