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Finding the Fourth Proportional to 829.90, 1,146.72 and 620.92

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Solution

The fourth proportional to 829.90, 1,146.72 and 620.92 is: 857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.90 : 1,146.72 = 620.92 : x
  2. Step 2: Convert to fraction form
    829.90/1,146.72 = 620.92/x
  3. Step 3: Cross multiply
    829.90x = 1,146.72 × 620.92
  4. Step 4: Simplify right side
    829.90x = 712,021.38
  5. Step 5: Solve for x
    x = 712,021.38/829.90
  6. Step 6: Final answer
    x = 857.96

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1.5x scale

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.