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Finding the Fourth Proportional to 1,313.60, 1,968.96 and 927.68

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Solution

The fourth proportional to 1,313.60, 1,968.96 and 927.68 is: 1,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.60 : 1,968.96 = 927.68 : x
  2. Step 2: Convert to fraction form
    1,313.60/1,968.96 = 927.68/x
  3. Step 3: Cross multiply
    1,313.60x = 1,968.96 × 927.68
  4. Step 4: Simplify right side
    1,313.60x = 1,826,564.81
  5. Step 5: Solve for x
    x = 1,826,564.81/1,313.60
  6. Step 6: Final answer
    x = 1,390.50

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1.5x scale

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.