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Finding the Fourth Proportional to 506.64, 693.60 and 493.68

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Solution

The fourth proportional to 506.64, 693.60 and 493.68 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.64 : 693.60 = 493.68 : x
  2. Step 2: Convert to fraction form
    506.64/693.60 = 493.68/x
  3. Step 3: Cross multiply
    506.64x = 693.60 × 493.68
  4. Step 4: Simplify right side
    506.64x = 342,416.45
  5. Step 5: Solve for x
    x = 342,416.45/506.64
  6. Step 6: Final answer
    x = 675.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.