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Finding the Fourth Proportional to 911.86, 1,257.12 and 663.19

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Solution

The fourth proportional to 911.86, 1,257.12 and 663.19 is: 914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.86 : 1,257.12 = 663.19 : x
  2. Step 2: Convert to fraction form
    911.86/1,257.12 = 663.19/x
  3. Step 3: Cross multiply
    911.86x = 1,257.12 × 663.19
  4. Step 4: Simplify right side
    911.86x = 833,706.27
  5. Step 5: Solve for x
    x = 833,706.27/911.86
  6. Step 6: Final answer
    x = 914.29

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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.