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Finding the Fourth Proportional to 849.33, 1,170.14 and 708.66

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Solution

The fourth proportional to 849.33, 1,170.14 and 708.66 is: 976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.33 : 1,170.14 = 708.66 : x
  2. Step 2: Convert to fraction form
    849.33/1,170.14 = 708.66/x
  3. Step 3: Cross multiply
    849.33x = 1,170.14 × 708.66
  4. Step 4: Simplify right side
    849.33x = 829,227.87
  5. Step 5: Solve for x
    x = 829,227.87/849.33
  6. Step 6: Final answer
    x = 976.33

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Double scale
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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.