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Finding the Fourth Proportional to 816, 1,223.52 and 720

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Solution

The fourth proportional to 816, 1,223.52 and 720 is: 1,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,223.52 = 720 : x
  2. Step 2: Convert to fraction form
    816/1,223.52 = 720/x
  3. Step 3: Cross multiply
    816x = 1,223.52 × 720
  4. Step 4: Simplify right side
    816x = 880,934.40
  5. Step 5: Solve for x
    x = 880,934.40/816
  6. Step 6: Final answer
    x = 1,079.58

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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.