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Finding the Fourth Proportional to 512.08, 707.22 and 493.86

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Solution

The fourth proportional to 512.08, 707.22 and 493.86 is: 682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 707.22 = 493.86 : x
  2. Step 2: Convert to fraction form
    512.08/707.22 = 493.86/x
  3. Step 3: Cross multiply
    512.08x = 707.22 × 493.86
  4. Step 4: Simplify right side
    512.08x = 349,267.67
  5. Step 5: Solve for x
    x = 349,267.67/512.08
  6. Step 6: Final answer
    x = 682.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.