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Finding the Fourth Proportional to 465.26, 697.64 and 385.98

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Solution

The fourth proportional to 465.26, 697.64 and 385.98 is: 578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.26 : 697.64 = 385.98 : x
  2. Step 2: Convert to fraction form
    465.26/697.64 = 385.98/x
  3. Step 3: Cross multiply
    465.26x = 697.64 × 385.98
  4. Step 4: Simplify right side
    465.26x = 269,275.09
  5. Step 5: Solve for x
    x = 269,275.09/465.26
  6. Step 6: Final answer
    x = 578.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.