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Finding the Fourth Proportional to 853.94, 1,179 and 657.14

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Solution

The fourth proportional to 853.94, 1,179 and 657.14 is: 907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.94 : 1,179 = 657.14 : x
  2. Step 2: Convert to fraction form
    853.94/1,179 = 657.14/x
  3. Step 3: Cross multiply
    853.94x = 1,179 × 657.14
  4. Step 4: Simplify right side
    853.94x = 774,768.06
  5. Step 5: Solve for x
    x = 774,768.06/853.94
  6. Step 6: Final answer
    x = 907.29

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1.5x scale

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.