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Finding the Fourth Proportional to 536.97, 805.74 and 293.64

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Solution

The fourth proportional to 536.97, 805.74 and 293.64 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.97 : 805.74 = 293.64 : x
  2. Step 2: Convert to fraction form
    536.97/805.74 = 293.64/x
  3. Step 3: Cross multiply
    536.97x = 805.74 × 293.64
  4. Step 4: Simplify right side
    536.97x = 236,597.49
  5. Step 5: Solve for x
    x = 236,597.49/536.97
  6. Step 6: Final answer
    x = 440.62

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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.