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Finding the Fourth Proportional to 1,007.49, 1,511.22 and 663

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Solution

The fourth proportional to 1,007.49, 1,511.22 and 663 is: 994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.49 : 1,511.22 = 663 : x
  2. Step 2: Convert to fraction form
    1,007.49/1,511.22 = 663/x
  3. Step 3: Cross multiply
    1,007.49x = 1,511.22 × 663
  4. Step 4: Simplify right side
    1,007.49x = 1,001,938.86
  5. Step 5: Solve for x
    x = 1,001,938.86/1,007.49
  6. Step 6: Final answer
    x = 994.49

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Double scale
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1.5x scale

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.