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Finding the Fourth Proportional to 1,245.91, 1,720.19 and 774.51

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Solution

The fourth proportional to 1,245.91, 1,720.19 and 774.51 is: 1,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.91 : 1,720.19 = 774.51 : x
  2. Step 2: Convert to fraction form
    1,245.91/1,720.19 = 774.51/x
  3. Step 3: Cross multiply
    1,245.91x = 1,720.19 × 774.51
  4. Step 4: Simplify right side
    1,245.91x = 1,332,306.72
  5. Step 5: Solve for x
    x = 1,332,306.72/1,245.91
  6. Step 6: Final answer
    x = 1,069.34

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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.