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Finding the Fourth Proportional to 506.25, 697.80 and 395.53

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Solution

The fourth proportional to 506.25, 697.80 and 395.53 is: 545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 697.80 = 395.53 : x
  2. Step 2: Convert to fraction form
    506.25/697.80 = 395.53/x
  3. Step 3: Cross multiply
    506.25x = 697.80 × 395.53
  4. Step 4: Simplify right side
    506.25x = 275,995.37
  5. Step 5: Solve for x
    x = 275,995.37/506.25
  6. Step 6: Final answer
    x = 545.18

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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.