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Finding the Fourth Proportional to 1,033.32, 1,556.96 and 854.71

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Solution

The fourth proportional to 1,033.32, 1,556.96 and 854.71 is: 1,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.32 : 1,556.96 = 854.71 : x
  2. Step 2: Convert to fraction form
    1,033.32/1,556.96 = 854.71/x
  3. Step 3: Cross multiply
    1,033.32x = 1,556.96 × 854.71
  4. Step 4: Simplify right side
    1,033.32x = 1,330,749.28
  5. Step 5: Solve for x
    x = 1,330,749.28/1,033.32
  6. Step 6: Final answer
    x = 1,287.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.