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Finding the Fourth Proportional to 1,313.38, 1,968.84 and 582.55

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Solution

The fourth proportional to 1,313.38, 1,968.84 and 582.55 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.38 : 1,968.84 = 582.55 : x
  2. Step 2: Convert to fraction form
    1,313.38/1,968.84 = 582.55/x
  3. Step 3: Cross multiply
    1,313.38x = 1,968.84 × 582.55
  4. Step 4: Simplify right side
    1,313.38x = 1,146,947.74
  5. Step 5: Solve for x
    x = 1,146,947.74/1,313.38
  6. Step 6: Final answer
    x = 873.28

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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.