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Finding the Fourth Proportional to 595.21, 821.83 and 429.79

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Solution

The fourth proportional to 595.21, 821.83 and 429.79 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.21 : 821.83 = 429.79 : x
  2. Step 2: Convert to fraction form
    595.21/821.83 = 429.79/x
  3. Step 3: Cross multiply
    595.21x = 821.83 × 429.79
  4. Step 4: Simplify right side
    595.21x = 353,212.17
  5. Step 5: Solve for x
    x = 353,212.17/595.21
  6. Step 6: Final answer
    x = 593.42

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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.