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Finding the Fourth Proportional to 538.02, 810.42 and 480.91

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Solution

The fourth proportional to 538.02, 810.42 and 480.91 is: 724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.02 : 810.42 = 480.91 : x
  2. Step 2: Convert to fraction form
    538.02/810.42 = 480.91/x
  3. Step 3: Cross multiply
    538.02x = 810.42 × 480.91
  4. Step 4: Simplify right side
    538.02x = 389,741.90
  5. Step 5: Solve for x
    x = 389,741.90/538.02
  6. Step 6: Final answer
    x = 724.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.