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Finding the Fourth Proportional to 434.92, 598.56 and 399.96

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Solution

The fourth proportional to 434.92, 598.56 and 399.96 is: 550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.92 : 598.56 = 399.96 : x
  2. Step 2: Convert to fraction form
    434.92/598.56 = 399.96/x
  3. Step 3: Cross multiply
    434.92x = 598.56 × 399.96
  4. Step 4: Simplify right side
    434.92x = 239,400.06
  5. Step 5: Solve for x
    x = 239,400.06/434.92
  6. Step 6: Final answer
    x = 550.45

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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.