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Finding the Fourth Proportional to 561.92, 841.96 and 399.36

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Solution

The fourth proportional to 561.92, 841.96 and 399.36 is: 598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.92 : 841.96 = 399.36 : x
  2. Step 2: Convert to fraction form
    561.92/841.96 = 399.36/x
  3. Step 3: Cross multiply
    561.92x = 841.96 × 399.36
  4. Step 4: Simplify right side
    561.92x = 336,245.15
  5. Step 5: Solve for x
    x = 336,245.15/561.92
  6. Step 6: Final answer
    x = 598.39

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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.