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Finding the Fourth Proportional to 595.11, 821.58 and 399.66

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Solution

The fourth proportional to 595.11, 821.58 and 399.66 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.11 : 821.58 = 399.66 : x
  2. Step 2: Convert to fraction form
    595.11/821.58 = 399.66/x
  3. Step 3: Cross multiply
    595.11x = 821.58 × 399.66
  4. Step 4: Simplify right side
    595.11x = 328,352.66
  5. Step 5: Solve for x
    x = 328,352.66/595.11
  6. Step 6: Final answer
    x = 551.75

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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.