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Finding the Fourth Proportional to 820.02, 1,230.12 and 617.16

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Solution

The fourth proportional to 820.02, 1,230.12 and 617.16 is: 925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,230.12 = 617.16 : x
  2. Step 2: Convert to fraction form
    820.02/1,230.12 = 617.16/x
  3. Step 3: Cross multiply
    820.02x = 1,230.12 × 617.16
  4. Step 4: Simplify right side
    820.02x = 759,180.86
  5. Step 5: Solve for x
    x = 759,180.86/820.02
  6. Step 6: Final answer
    x = 925.81

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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.