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Finding the Fourth Proportional to 1,210.68, 1,670.96 and 791.38

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Solution

The fourth proportional to 1,210.68, 1,670.96 and 791.38 is: 1,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.68 : 1,670.96 = 791.38 : x
  2. Step 2: Convert to fraction form
    1,210.68/1,670.96 = 791.38/x
  3. Step 3: Cross multiply
    1,210.68x = 1,670.96 × 791.38
  4. Step 4: Simplify right side
    1,210.68x = 1,322,364.32
  5. Step 5: Solve for x
    x = 1,322,364.32/1,210.68
  6. Step 6: Final answer
    x = 1,092.25

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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.