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Finding the Fourth Proportional to 708.64, 1,061.68 and 404

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Solution

The fourth proportional to 708.64, 1,061.68 and 404 is: 605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 1,061.68 = 404 : x
  2. Step 2: Convert to fraction form
    708.64/1,061.68 = 404/x
  3. Step 3: Cross multiply
    708.64x = 1,061.68 × 404
  4. Step 4: Simplify right side
    708.64x = 428,918.72
  5. Step 5: Solve for x
    x = 428,918.72/708.64
  6. Step 6: Final answer
    x = 605.27

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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.