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Finding the Fourth Proportional to 986.94, 1,361.84 and 567.36

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Solution

The fourth proportional to 986.94, 1,361.84 and 567.36 is: 782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.94 : 1,361.84 = 567.36 : x
  2. Step 2: Convert to fraction form
    986.94/1,361.84 = 567.36/x
  3. Step 3: Cross multiply
    986.94x = 1,361.84 × 567.36
  4. Step 4: Simplify right side
    986.94x = 772,650.71
  5. Step 5: Solve for x
    x = 772,650.71/986.94
  6. Step 6: Final answer
    x = 782.88

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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.