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Finding the Fourth Proportional to 605.91, 835.58 and 384.47

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Solution

The fourth proportional to 605.91, 835.58 and 384.47 is: 530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.91 : 835.58 = 384.47 : x
  2. Step 2: Convert to fraction form
    605.91/835.58 = 384.47/x
  3. Step 3: Cross multiply
    605.91x = 835.58 × 384.47
  4. Step 4: Simplify right side
    605.91x = 321,249.34
  5. Step 5: Solve for x
    x = 321,249.34/605.91
  6. Step 6: Final answer
    x = 530.19

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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.