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Finding the Fourth Proportional to 832.28, 1,147.77 and 622.22

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Solution

The fourth proportional to 832.28, 1,147.77 and 622.22 is: 858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.28 : 1,147.77 = 622.22 : x
  2. Step 2: Convert to fraction form
    832.28/1,147.77 = 622.22/x
  3. Step 3: Cross multiply
    832.28x = 1,147.77 × 622.22
  4. Step 4: Simplify right side
    832.28x = 714,159.71
  5. Step 5: Solve for x
    x = 714,159.71/832.28
  6. Step 6: Final answer
    x = 858.08

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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.