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Finding the Fourth Proportional to 507.35, 698.73 and 474.41

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Solution

The fourth proportional to 507.35, 698.73 and 474.41 is: 653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.35 : 698.73 = 474.41 : x
  2. Step 2: Convert to fraction form
    507.35/698.73 = 474.41/x
  3. Step 3: Cross multiply
    507.35x = 698.73 × 474.41
  4. Step 4: Simplify right side
    507.35x = 331,481.01
  5. Step 5: Solve for x
    x = 331,481.01/507.35
  6. Step 6: Final answer
    x = 653.36

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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.