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Finding the Fourth Proportional to 595.44, 822.21 and 399.06

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Solution

The fourth proportional to 595.44, 822.21 and 399.06 is: 551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 822.21 = 399.06 : x
  2. Step 2: Convert to fraction form
    595.44/822.21 = 399.06/x
  3. Step 3: Cross multiply
    595.44x = 822.21 × 399.06
  4. Step 4: Simplify right side
    595.44x = 328,111.12
  5. Step 5: Solve for x
    x = 328,111.12/595.44
  6. Step 6: Final answer
    x = 551.04

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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.