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Finding the Fourth Proportional to 883.40, 1,324.98 and 306.08

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Solution

The fourth proportional to 883.40, 1,324.98 and 306.08 is: 459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.40 : 1,324.98 = 306.08 : x
  2. Step 2: Convert to fraction form
    883.40/1,324.98 = 306.08/x
  3. Step 3: Cross multiply
    883.40x = 1,324.98 × 306.08
  4. Step 4: Simplify right side
    883.40x = 405,549.88
  5. Step 5: Solve for x
    x = 405,549.88/883.40
  6. Step 6: Final answer
    x = 459.08

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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.