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Finding the Fourth Proportional to 595.45, 821.57 and 346.62

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Solution

The fourth proportional to 595.45, 821.57 and 346.62 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.45 : 821.57 = 346.62 : x
  2. Step 2: Convert to fraction form
    595.45/821.57 = 346.62/x
  3. Step 3: Cross multiply
    595.45x = 821.57 × 346.62
  4. Step 4: Simplify right side
    595.45x = 284,768.49
  5. Step 5: Solve for x
    x = 284,768.49/595.45
  6. Step 6: Final answer
    x = 478.24

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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.