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Finding the Fourth Proportional to 888.71, 1,334.58 and 842.54

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Solution

The fourth proportional to 888.71, 1,334.58 and 842.54 is: 1,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.71 : 1,334.58 = 842.54 : x
  2. Step 2: Convert to fraction form
    888.71/1,334.58 = 842.54/x
  3. Step 3: Cross multiply
    888.71x = 1,334.58 × 842.54
  4. Step 4: Simplify right side
    888.71x = 1,124,430.36
  5. Step 5: Solve for x
    x = 1,124,430.36/888.71
  6. Step 6: Final answer
    x = 1,265.25

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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.