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Finding the Fourth Proportional to 952.89, 1,429.74 and 405.19

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Solution

The fourth proportional to 952.89, 1,429.74 and 405.19 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.89 : 1,429.74 = 405.19 : x
  2. Step 2: Convert to fraction form
    952.89/1,429.74 = 405.19/x
  3. Step 3: Cross multiply
    952.89x = 1,429.74 × 405.19
  4. Step 4: Simplify right side
    952.89x = 579,316.35
  5. Step 5: Solve for x
    x = 579,316.35/952.89
  6. Step 6: Final answer
    x = 607.96

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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.