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Finding the Fourth Proportional to 1,363.51, 1,881.65 and 774.06

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Solution

The fourth proportional to 1,363.51, 1,881.65 and 774.06 is: 1,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.51 : 1,881.65 = 774.06 : x
  2. Step 2: Convert to fraction form
    1,363.51/1,881.65 = 774.06/x
  3. Step 3: Cross multiply
    1,363.51x = 1,881.65 × 774.06
  4. Step 4: Simplify right side
    1,363.51x = 1,456,504.88
  5. Step 5: Solve for x
    x = 1,456,504.88/1,363.51
  6. Step 6: Final answer
    x = 1,068.20

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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.