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Finding the Fourth Proportional to 1,234.25, 1,703.52 and 809.45

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Solution

The fourth proportional to 1,234.25, 1,703.52 and 809.45 is: 1,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.25 : 1,703.52 = 809.45 : x
  2. Step 2: Convert to fraction form
    1,234.25/1,703.52 = 809.45/x
  3. Step 3: Cross multiply
    1,234.25x = 1,703.52 × 809.45
  4. Step 4: Simplify right side
    1,234.25x = 1,378,905.75
  5. Step 5: Solve for x
    x = 1,378,905.75/1,234.25
  6. Step 6: Final answer
    x = 1,117.21

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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.