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Finding the Fourth Proportional to 595.50, 821.48 and 399.08

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Solution

The fourth proportional to 595.50, 821.48 and 399.08 is: 550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 821.48 = 399.08 : x
  2. Step 2: Convert to fraction form
    595.50/821.48 = 399.08/x
  3. Step 3: Cross multiply
    595.50x = 821.48 × 399.08
  4. Step 4: Simplify right side
    595.50x = 327,836.24
  5. Step 5: Solve for x
    x = 327,836.24/595.50
  6. Step 6: Final answer
    x = 550.52

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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.