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Finding the Fourth Proportional to 503.90, 693.88 and 493.56

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Solution

The fourth proportional to 503.90, 693.88 and 493.56 is: 679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.90 : 693.88 = 493.56 : x
  2. Step 2: Convert to fraction form
    503.90/693.88 = 493.56/x
  3. Step 3: Cross multiply
    503.90x = 693.88 × 493.56
  4. Step 4: Simplify right side
    503.90x = 342,471.41
  5. Step 5: Solve for x
    x = 342,471.41/503.90
  6. Step 6: Final answer
    x = 679.64

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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.