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Finding the Fourth Proportional to 608.64, 839.92 and 360

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Solution

The fourth proportional to 608.64, 839.92 and 360 is: 496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 839.92 = 360 : x
  2. Step 2: Convert to fraction form
    608.64/839.92 = 360/x
  3. Step 3: Cross multiply
    608.64x = 839.92 × 360
  4. Step 4: Simplify right side
    608.64x = 302,371.20
  5. Step 5: Solve for x
    x = 302,371.20/608.64
  6. Step 6: Final answer
    x = 496.80

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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.