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Finding the Fourth Proportional to 829.72, 1,145.10 and 622.36

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Solution

The fourth proportional to 829.72, 1,145.10 and 622.36 is: 858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.72 : 1,145.10 = 622.36 : x
  2. Step 2: Convert to fraction form
    829.72/1,145.10 = 622.36/x
  3. Step 3: Cross multiply
    829.72x = 1,145.10 × 622.36
  4. Step 4: Simplify right side
    829.72x = 712,664.44
  5. Step 5: Solve for x
    x = 712,664.44/829.72
  6. Step 6: Final answer
    x = 858.92

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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.