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Finding the Fourth Proportional to 1,078.69, 1,487.88 and 996.67

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Solution

The fourth proportional to 1,078.69, 1,487.88 and 996.67 is: 1,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.69 : 1,487.88 = 996.67 : x
  2. Step 2: Convert to fraction form
    1,078.69/1,487.88 = 996.67/x
  3. Step 3: Cross multiply
    1,078.69x = 1,487.88 × 996.67
  4. Step 4: Simplify right side
    1,078.69x = 1,482,925.36
  5. Step 5: Solve for x
    x = 1,482,925.36/1,078.69
  6. Step 6: Final answer
    x = 1,374.75

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Double scale
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1.5x scale

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.