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Finding the Fourth Proportional to 1,218.83, 1,682.52 and 777.32

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Solution

The fourth proportional to 1,218.83, 1,682.52 and 777.32 is: 1,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.83 : 1,682.52 = 777.32 : x
  2. Step 2: Convert to fraction form
    1,218.83/1,682.52 = 777.32/x
  3. Step 3: Cross multiply
    1,218.83x = 1,682.52 × 777.32
  4. Step 4: Simplify right side
    1,218.83x = 1,307,848.03
  5. Step 5: Solve for x
    x = 1,307,848.03/1,218.83
  6. Step 6: Final answer
    x = 1,073.04

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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.