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Finding the Fourth Proportional to 536.45, 805.13 and 305.57

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Solution

The fourth proportional to 536.45, 805.13 and 305.57 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.45 : 805.13 = 305.57 : x
  2. Step 2: Convert to fraction form
    536.45/805.13 = 305.57/x
  3. Step 3: Cross multiply
    536.45x = 805.13 × 305.57
  4. Step 4: Simplify right side
    536.45x = 246,018.02
  5. Step 5: Solve for x
    x = 246,018.02/536.45
  6. Step 6: Final answer
    x = 458.61

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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.