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Finding the Fourth Proportional to 536.81, 740.85 and 405.59

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Solution

The fourth proportional to 536.81, 740.85 and 405.59 is: 559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.81 : 740.85 = 405.59 : x
  2. Step 2: Convert to fraction form
    536.81/740.85 = 405.59/x
  3. Step 3: Cross multiply
    536.81x = 740.85 × 405.59
  4. Step 4: Simplify right side
    536.81x = 300,481.35
  5. Step 5: Solve for x
    x = 300,481.35/536.81
  6. Step 6: Final answer
    x = 559.75

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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.