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Finding the Fourth Proportional to 504.41, 698.88 and 493.47

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Solution

The fourth proportional to 504.41, 698.88 and 493.47 is: 683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.41 : 698.88 = 493.47 : x
  2. Step 2: Convert to fraction form
    504.41/698.88 = 493.47/x
  3. Step 3: Cross multiply
    504.41x = 698.88 × 493.47
  4. Step 4: Simplify right side
    504.41x = 344,876.31
  5. Step 5: Solve for x
    x = 344,876.31/504.41
  6. Step 6: Final answer
    x = 683.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.