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Finding the Fourth Proportional to 986.83, 1,361.90 and 567.25

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Solution

The fourth proportional to 986.83, 1,361.90 and 567.25 is: 782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.83 : 1,361.90 = 567.25 : x
  2. Step 2: Convert to fraction form
    986.83/1,361.90 = 567.25/x
  3. Step 3: Cross multiply
    986.83x = 1,361.90 × 567.25
  4. Step 4: Simplify right side
    986.83x = 772,537.78
  5. Step 5: Solve for x
    x = 772,537.78/986.83
  6. Step 6: Final answer
    x = 782.85

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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.