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Finding the Fourth Proportional to 536.34, 805 and 415.38

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Solution

The fourth proportional to 536.34, 805 and 415.38 is: 623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.34 : 805 = 415.38 : x
  2. Step 2: Convert to fraction form
    536.34/805 = 415.38/x
  3. Step 3: Cross multiply
    536.34x = 805 × 415.38
  4. Step 4: Simplify right side
    536.34x = 334,380.90
  5. Step 5: Solve for x
    x = 334,380.90/536.34
  6. Step 6: Final answer
    x = 623.45

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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.