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Finding the Fourth Proportional to 911.12, 1,366.85 and 500.03

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Solution

The fourth proportional to 911.12, 1,366.85 and 500.03 is: 750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.12 : 1,366.85 = 500.03 : x
  2. Step 2: Convert to fraction form
    911.12/1,366.85 = 500.03/x
  3. Step 3: Cross multiply
    911.12x = 1,366.85 × 500.03
  4. Step 4: Simplify right side
    911.12x = 683,466.01
  5. Step 5: Solve for x
    x = 683,466.01/911.12
  6. Step 6: Final answer
    x = 750.14

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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.