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Finding the Fourth Proportional to 1,363.78, 1,881.78 and 774.19

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Solution

The fourth proportional to 1,363.78, 1,881.78 and 774.19 is: 1,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.78 : 1,881.78 = 774.19 : x
  2. Step 2: Convert to fraction form
    1,363.78/1,881.78 = 774.19/x
  3. Step 3: Cross multiply
    1,363.78x = 1,881.78 × 774.19
  4. Step 4: Simplify right side
    1,363.78x = 1,456,855.26
  5. Step 5: Solve for x
    x = 1,456,855.26/1,363.78
  6. Step 6: Final answer
    x = 1,068.25

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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.