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Finding the Fourth Proportional to 536.94, 805.68 and 406.90

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Solution

The fourth proportional to 536.94, 805.68 and 406.90 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 805.68 = 406.90 : x
  2. Step 2: Convert to fraction form
    536.94/805.68 = 406.90/x
  3. Step 3: Cross multiply
    536.94x = 805.68 × 406.90
  4. Step 4: Simplify right side
    536.94x = 327,829.18
  5. Step 5: Solve for x
    x = 327,829.18/536.94
  6. Step 6: Final answer
    x = 610.55

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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.