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Finding the Fourth Proportional to 1,362.69, 1,880.40 and 773.21

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Solution

The fourth proportional to 1,362.69, 1,880.40 and 773.21 is: 1,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.69 : 1,880.40 = 773.21 : x
  2. Step 2: Convert to fraction form
    1,362.69/1,880.40 = 773.21/x
  3. Step 3: Cross multiply
    1,362.69x = 1,880.40 × 773.21
  4. Step 4: Simplify right side
    1,362.69x = 1,453,944.08
  5. Step 5: Solve for x
    x = 1,453,944.08/1,362.69
  6. Step 6: Final answer
    x = 1,066.97

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Half scale
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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.