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Finding the Fourth Proportional to 538.10, 742.56 and 406.88

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Solution

The fourth proportional to 538.10, 742.56 and 406.88 is: 561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.10 : 742.56 = 406.88 : x
  2. Step 2: Convert to fraction form
    538.10/742.56 = 406.88/x
  3. Step 3: Cross multiply
    538.10x = 742.56 × 406.88
  4. Step 4: Simplify right side
    538.10x = 302,132.81
  5. Step 5: Solve for x
    x = 302,132.81/538.10
  6. Step 6: Final answer
    x = 561.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.