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Finding the Fourth Proportional to 588.82, 883.23 and 405.66

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Solution

The fourth proportional to 588.82, 883.23 and 405.66 is: 608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.82 : 883.23 = 405.66 : x
  2. Step 2: Convert to fraction form
    588.82/883.23 = 405.66/x
  3. Step 3: Cross multiply
    588.82x = 883.23 × 405.66
  4. Step 4: Simplify right side
    588.82x = 358,291.08
  5. Step 5: Solve for x
    x = 358,291.08/588.82
  6. Step 6: Final answer
    x = 608.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.