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Finding the Fourth Proportional to 1,033.69, 1,550.53 and 981.78

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Solution

The fourth proportional to 1,033.69, 1,550.53 and 981.78 is: 1,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.69 : 1,550.53 = 981.78 : x
  2. Step 2: Convert to fraction form
    1,033.69/1,550.53 = 981.78/x
  3. Step 3: Cross multiply
    1,033.69x = 1,550.53 × 981.78
  4. Step 4: Simplify right side
    1,033.69x = 1,522,280.57
  5. Step 5: Solve for x
    x = 1,522,280.57/1,033.69
  6. Step 6: Final answer
    x = 1,472.67

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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.