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Finding the Fourth Proportional to 662.96, 989.56 and 576.90

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Solution

The fourth proportional to 662.96, 989.56 and 576.90 is: 861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 989.56 = 576.90 : x
  2. Step 2: Convert to fraction form
    662.96/989.56 = 576.90/x
  3. Step 3: Cross multiply
    662.96x = 989.56 × 576.90
  4. Step 4: Simplify right side
    662.96x = 570,877.16
  5. Step 5: Solve for x
    x = 570,877.16/662.96
  6. Step 6: Final answer
    x = 861.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.