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Finding the Fourth Proportional to 1,218.38, 1,680.75 and 776.25

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Solution

The fourth proportional to 1,218.38, 1,680.75 and 776.25 is: 1,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.38 : 1,680.75 = 776.25 : x
  2. Step 2: Convert to fraction form
    1,218.38/1,680.75 = 776.25/x
  3. Step 3: Cross multiply
    1,218.38x = 1,680.75 × 776.25
  4. Step 4: Simplify right side
    1,218.38x = 1,304,682.19
  5. Step 5: Solve for x
    x = 1,304,682.19/1,218.38
  6. Step 6: Final answer
    x = 1,070.84

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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.