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Finding the Fourth Proportional to 1,480.99, 2,221.71 and 506.86

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Solution

The fourth proportional to 1,480.99, 2,221.71 and 506.86 is: 760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.99 : 2,221.71 = 506.86 : x
  2. Step 2: Convert to fraction form
    1,480.99/2,221.71 = 506.86/x
  3. Step 3: Cross multiply
    1,480.99x = 2,221.71 × 506.86
  4. Step 4: Simplify right side
    1,480.99x = 1,126,090.38
  5. Step 5: Solve for x
    x = 1,126,090.38/1,480.99
  6. Step 6: Final answer
    x = 760.36

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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.