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Finding the Fourth Proportional to 595.21, 821.42 and 346.59

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Solution

The fourth proportional to 595.21, 821.42 and 346.59 is: 478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.21 : 821.42 = 346.59 : x
  2. Step 2: Convert to fraction form
    595.21/821.42 = 346.59/x
  3. Step 3: Cross multiply
    595.21x = 821.42 × 346.59
  4. Step 4: Simplify right side
    595.21x = 284,695.96
  5. Step 5: Solve for x
    x = 284,695.96/595.21
  6. Step 6: Final answer
    x = 478.31

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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.