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Finding the Fourth Proportional to 986.43, 1,361.32 and 566.90

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Solution

The fourth proportional to 986.43, 1,361.32 and 566.90 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.43 : 1,361.32 = 566.90 : x
  2. Step 2: Convert to fraction form
    986.43/1,361.32 = 566.90/x
  3. Step 3: Cross multiply
    986.43x = 1,361.32 × 566.90
  4. Step 4: Simplify right side
    986.43x = 771,732.31
  5. Step 5: Solve for x
    x = 771,732.31/986.43
  6. Step 6: Final answer
    x = 782.35

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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.