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Finding the Fourth Proportional to 1,313.73, 1,971.05 and 583.82

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Solution

The fourth proportional to 1,313.73, 1,971.05 and 583.82 is: 875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.73 : 1,971.05 = 583.82 : x
  2. Step 2: Convert to fraction form
    1,313.73/1,971.05 = 583.82/x
  3. Step 3: Cross multiply
    1,313.73x = 1,971.05 × 583.82
  4. Step 4: Simplify right side
    1,313.73x = 1,150,725.64
  5. Step 5: Solve for x
    x = 1,150,725.64/1,313.73
  6. Step 6: Final answer
    x = 875.92

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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.