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Finding the Fourth Proportional to 662.14, 990.76 and 545.50

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Solution

The fourth proportional to 662.14, 990.76 and 545.50 is: 816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.14 : 990.76 = 545.50 : x
  2. Step 2: Convert to fraction form
    662.14/990.76 = 545.50/x
  3. Step 3: Cross multiply
    662.14x = 990.76 × 545.50
  4. Step 4: Simplify right side
    662.14x = 540,459.58
  5. Step 5: Solve for x
    x = 540,459.58/662.14
  6. Step 6: Final answer
    x = 816.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.