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Finding the Fourth Proportional to 505.66, 699.78 and 493.52

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Solution

The fourth proportional to 505.66, 699.78 and 493.52 is: 682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 699.78 = 493.52 : x
  2. Step 2: Convert to fraction form
    505.66/699.78 = 493.52/x
  3. Step 3: Cross multiply
    505.66x = 699.78 × 493.52
  4. Step 4: Simplify right side
    505.66x = 345,355.43
  5. Step 5: Solve for x
    x = 345,355.43/505.66
  6. Step 6: Final answer
    x = 682.98

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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.