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Finding the Fourth Proportional to 1,480.97, 2,221.46 and 507.08

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Solution

The fourth proportional to 1,480.97, 2,221.46 and 507.08 is: 760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.97 : 2,221.46 = 507.08 : x
  2. Step 2: Convert to fraction form
    1,480.97/2,221.46 = 507.08/x
  3. Step 3: Cross multiply
    1,480.97x = 2,221.46 × 507.08
  4. Step 4: Simplify right side
    1,480.97x = 1,126,457.94
  5. Step 5: Solve for x
    x = 1,126,457.94/1,480.97
  6. Step 6: Final answer
    x = 760.62

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Double scale
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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.