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Finding the Fourth Proportional to 809.47, 1,214.21 and 322.41

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Solution

The fourth proportional to 809.47, 1,214.21 and 322.41 is: 483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.47 : 1,214.21 = 322.41 : x
  2. Step 2: Convert to fraction form
    809.47/1,214.21 = 322.41/x
  3. Step 3: Cross multiply
    809.47x = 1,214.21 × 322.41
  4. Step 4: Simplify right side
    809.47x = 391,467.28
  5. Step 5: Solve for x
    x = 391,467.28/809.47
  6. Step 6: Final answer
    x = 483.61

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Double scale
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Similar ratio
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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.