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Finding the Fourth Proportional to 595.55, 821.75 and 346.88

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Solution

The fourth proportional to 595.55, 821.75 and 346.88 is: 478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.55 : 821.75 = 346.88 : x
  2. Step 2: Convert to fraction form
    595.55/821.75 = 346.88/x
  3. Step 3: Cross multiply
    595.55x = 821.75 × 346.88
  4. Step 4: Simplify right side
    595.55x = 285,048.96
  5. Step 5: Solve for x
    x = 285,048.96/595.55
  6. Step 6: Final answer
    x = 478.63

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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.