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Finding the Fourth Proportional to 536.39, 803.21 and 431.78

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Solution

The fourth proportional to 536.39, 803.21 and 431.78 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.39 : 803.21 = 431.78 : x
  2. Step 2: Convert to fraction form
    536.39/803.21 = 431.78/x
  3. Step 3: Cross multiply
    536.39x = 803.21 × 431.78
  4. Step 4: Simplify right side
    536.39x = 346,803.84
  5. Step 5: Solve for x
    x = 346,803.84/536.39
  6. Step 6: Final answer
    x = 646.56

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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.