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Finding the Fourth Proportional to 605.74, 835.62 and 384.61

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Solution

The fourth proportional to 605.74, 835.62 and 384.61 is: 530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.74 : 835.62 = 384.61 : x
  2. Step 2: Convert to fraction form
    605.74/835.62 = 384.61/x
  3. Step 3: Cross multiply
    605.74x = 835.62 × 384.61
  4. Step 4: Simplify right side
    605.74x = 321,387.81
  5. Step 5: Solve for x
    x = 321,387.81/605.74
  6. Step 6: Final answer
    x = 530.57

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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.