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Finding the Fourth Proportional to 605.34, 835.20 and 384.30

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Solution

The fourth proportional to 605.34, 835.20 and 384.30 is: 530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 835.20 = 384.30 : x
  2. Step 2: Convert to fraction form
    605.34/835.20 = 384.30/x
  3. Step 3: Cross multiply
    605.34x = 835.20 × 384.30
  4. Step 4: Simplify right side
    605.34x = 320,967.36
  5. Step 5: Solve for x
    x = 320,967.36/605.34
  6. Step 6: Final answer
    x = 530.23

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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.