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Finding the Fourth Proportional to 954.74, 1,313.60 and 842.24

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Solution

The fourth proportional to 954.74, 1,313.60 and 842.24 is: 1,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.74 : 1,313.60 = 842.24 : x
  2. Step 2: Convert to fraction form
    954.74/1,313.60 = 842.24/x
  3. Step 3: Cross multiply
    954.74x = 1,313.60 × 842.24
  4. Step 4: Simplify right side
    954.74x = 1,106,355.68
  5. Step 5: Solve for x
    x = 1,106,355.68/954.74
  6. Step 6: Final answer
    x = 1,158.81

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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.