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Finding the Fourth Proportional to 536.48, 740.36 and 405.26

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Solution

The fourth proportional to 536.48, 740.36 and 405.26 is: 559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.48 : 740.36 = 405.26 : x
  2. Step 2: Convert to fraction form
    536.48/740.36 = 405.26/x
  3. Step 3: Cross multiply
    536.48x = 740.36 × 405.26
  4. Step 4: Simplify right side
    536.48x = 300,032.57
  5. Step 5: Solve for x
    x = 300,032.57/536.48
  6. Step 6: Final answer
    x = 559.27

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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.