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Finding the Fourth Proportional to 578.32, 798.62 and 371.68

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Solution

The fourth proportional to 578.32, 798.62 and 371.68 is: 513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.32 : 798.62 = 371.68 : x
  2. Step 2: Convert to fraction form
    578.32/798.62 = 371.68/x
  3. Step 3: Cross multiply
    578.32x = 798.62 × 371.68
  4. Step 4: Simplify right side
    578.32x = 296,831.08
  5. Step 5: Solve for x
    x = 296,831.08/578.32
  6. Step 6: Final answer
    x = 513.26

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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.