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Finding the Fourth Proportional to 829.13, 1,242.77 and 418.64

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Solution

The fourth proportional to 829.13, 1,242.77 and 418.64 is: 627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,242.77 = 418.64 : x
  2. Step 2: Convert to fraction form
    829.13/1,242.77 = 418.64/x
  3. Step 3: Cross multiply
    829.13x = 1,242.77 × 418.64
  4. Step 4: Simplify right side
    829.13x = 520,264.93
  5. Step 5: Solve for x
    x = 520,264.93/829.13
  6. Step 6: Final answer
    x = 627.49

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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.