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Finding the Fourth Proportional to 538.72, 808.80 and 493.44

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Solution

The fourth proportional to 538.72, 808.80 and 493.44 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.72 : 808.80 = 493.44 : x
  2. Step 2: Convert to fraction form
    538.72/808.80 = 493.44/x
  3. Step 3: Cross multiply
    538.72x = 808.80 × 493.44
  4. Step 4: Simplify right side
    538.72x = 399,094.27
  5. Step 5: Solve for x
    x = 399,094.27/538.72
  6. Step 6: Final answer
    x = 740.82

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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.