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Finding the Fourth Proportional to 1,212.54, 1,816.35 and 778.38

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Solution

The fourth proportional to 1,212.54, 1,816.35 and 778.38 is: 1,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.54 : 1,816.35 = 778.38 : x
  2. Step 2: Convert to fraction form
    1,212.54/1,816.35 = 778.38/x
  3. Step 3: Cross multiply
    1,212.54x = 1,816.35 × 778.38
  4. Step 4: Simplify right side
    1,212.54x = 1,413,810.51
  5. Step 5: Solve for x
    x = 1,413,810.51/1,212.54
  6. Step 6: Final answer
    x = 1,165.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.