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Finding the Fourth Proportional to 506.54, 697.86 and 375.32

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Solution

The fourth proportional to 506.54, 697.86 and 375.32 is: 517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.54 : 697.86 = 375.32 : x
  2. Step 2: Convert to fraction form
    506.54/697.86 = 375.32/x
  3. Step 3: Cross multiply
    506.54x = 697.86 × 375.32
  4. Step 4: Simplify right side
    506.54x = 261,917.33
  5. Step 5: Solve for x
    x = 261,917.33/506.54
  6. Step 6: Final answer
    x = 517.08

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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.