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Finding the Fourth Proportional to 595.52, 821.72 and 399.08

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Solution

The fourth proportional to 595.52, 821.72 and 399.08 is: 550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.52 : 821.72 = 399.08 : x
  2. Step 2: Convert to fraction form
    595.52/821.72 = 399.08/x
  3. Step 3: Cross multiply
    595.52x = 821.72 × 399.08
  4. Step 4: Simplify right side
    595.52x = 327,930.02
  5. Step 5: Solve for x
    x = 327,930.02/595.52
  6. Step 6: Final answer
    x = 550.66

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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.