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Finding the Fourth Proportional to 986.87, 1,361.85 and 567.23

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Solution

The fourth proportional to 986.87, 1,361.85 and 567.23 is: 782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.87 : 1,361.85 = 567.23 : x
  2. Step 2: Convert to fraction form
    986.87/1,361.85 = 567.23/x
  3. Step 3: Cross multiply
    986.87x = 1,361.85 × 567.23
  4. Step 4: Simplify right side
    986.87x = 772,475.37
  5. Step 5: Solve for x
    x = 772,475.37/986.87
  6. Step 6: Final answer
    x = 782.76

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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.