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Finding the Fourth Proportional to 962.16, 1,440.90 and 550.04

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Solution

The fourth proportional to 962.16, 1,440.90 and 550.04 is: 823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.16 : 1,440.90 = 550.04 : x
  2. Step 2: Convert to fraction form
    962.16/1,440.90 = 550.04/x
  3. Step 3: Cross multiply
    962.16x = 1,440.90 × 550.04
  4. Step 4: Simplify right side
    962.16x = 792,556.24
  5. Step 5: Solve for x
    x = 792,556.24/962.16
  6. Step 6: Final answer
    x = 823.73

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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.