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Finding the Fourth Proportional to 875.94, 1,205.19 and 854.34

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Solution

The fourth proportional to 875.94, 1,205.19 and 854.34 is: 1,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.94 : 1,205.19 = 854.34 : x
  2. Step 2: Convert to fraction form
    875.94/1,205.19 = 854.34/x
  3. Step 3: Cross multiply
    875.94x = 1,205.19 × 854.34
  4. Step 4: Simplify right side
    875.94x = 1,029,642.02
  5. Step 5: Solve for x
    x = 1,029,642.02/875.94
  6. Step 6: Final answer
    x = 1,175.47

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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.