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Finding the Fourth Proportional to 919.77, 1,270.19 and 786.21

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Solution

The fourth proportional to 919.77, 1,270.19 and 786.21 is: 1,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.77 : 1,270.19 = 786.21 : x
  2. Step 2: Convert to fraction form
    919.77/1,270.19 = 786.21/x
  3. Step 3: Cross multiply
    919.77x = 1,270.19 × 786.21
  4. Step 4: Simplify right side
    919.77x = 998,636.08
  5. Step 5: Solve for x
    x = 998,636.08/919.77
  6. Step 6: Final answer
    x = 1,085.75

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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.