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Finding the Fourth Proportional to 1,078.84, 1,482.35 and 857.41

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Solution

The fourth proportional to 1,078.84, 1,482.35 and 857.41 is: 1,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.84 : 1,482.35 = 857.41 : x
  2. Step 2: Convert to fraction form
    1,078.84/1,482.35 = 857.41/x
  3. Step 3: Cross multiply
    1,078.84x = 1,482.35 × 857.41
  4. Step 4: Simplify right side
    1,078.84x = 1,270,971.95
  5. Step 5: Solve for x
    x = 1,270,971.95/1,078.84
  6. Step 6: Final answer
    x = 1,178.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.