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Finding the Fourth Proportional to 595.62, 821.61 and 399.06

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Solution

The fourth proportional to 595.62, 821.61 and 399.06 is: 550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.62 : 821.61 = 399.06 : x
  2. Step 2: Convert to fraction form
    595.62/821.61 = 399.06/x
  3. Step 3: Cross multiply
    595.62x = 821.61 × 399.06
  4. Step 4: Simplify right side
    595.62x = 327,871.69
  5. Step 5: Solve for x
    x = 327,871.69/595.62
  6. Step 6: Final answer
    x = 550.47

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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.