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Finding the Fourth Proportional to 507.07, 697.67 and 396.36

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Solution

The fourth proportional to 507.07, 697.67 and 396.36 is: 545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.07 : 697.67 = 396.36 : x
  2. Step 2: Convert to fraction form
    507.07/697.67 = 396.36/x
  3. Step 3: Cross multiply
    507.07x = 697.67 × 396.36
  4. Step 4: Simplify right side
    507.07x = 276,524.99
  5. Step 5: Solve for x
    x = 276,524.99/507.07
  6. Step 6: Final answer
    x = 545.34

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Double scale
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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.