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Finding the Fourth Proportional to 1,032.69, 1,556.12 and 854.08

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Solution

The fourth proportional to 1,032.69, 1,556.12 and 854.08 is: 1,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.69 : 1,556.12 = 854.08 : x
  2. Step 2: Convert to fraction form
    1,032.69/1,556.12 = 854.08/x
  3. Step 3: Cross multiply
    1,032.69x = 1,556.12 × 854.08
  4. Step 4: Simplify right side
    1,032.69x = 1,329,050.97
  5. Step 5: Solve for x
    x = 1,329,050.97/1,032.69
  6. Step 6: Final answer
    x = 1,286.98

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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.