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Finding the Fourth Proportional to 538.98, 804.08 and 524.10

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Solution

The fourth proportional to 538.98, 804.08 and 524.10 is: 781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.98 : 804.08 = 524.10 : x
  2. Step 2: Convert to fraction form
    538.98/804.08 = 524.10/x
  3. Step 3: Cross multiply
    538.98x = 804.08 × 524.10
  4. Step 4: Simplify right side
    538.98x = 421,418.33
  5. Step 5: Solve for x
    x = 421,418.33/538.98
  6. Step 6: Final answer
    x = 781.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.