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Finding the Fourth Proportional to 536.23, 803.60 and 406.12

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Solution

The fourth proportional to 536.23, 803.60 and 406.12 is: 608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.23 : 803.60 = 406.12 : x
  2. Step 2: Convert to fraction form
    536.23/803.60 = 406.12/x
  3. Step 3: Cross multiply
    536.23x = 803.60 × 406.12
  4. Step 4: Simplify right side
    536.23x = 326,358.03
  5. Step 5: Solve for x
    x = 326,358.03/536.23
  6. Step 6: Final answer
    x = 608.62

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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.