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Finding the Fourth Proportional to 822.30, 1,134.18 and 573.72

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Solution

The fourth proportional to 822.30, 1,134.18 and 573.72 is: 791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.30 : 1,134.18 = 573.72 : x
  2. Step 2: Convert to fraction form
    822.30/1,134.18 = 573.72/x
  3. Step 3: Cross multiply
    822.30x = 1,134.18 × 573.72
  4. Step 4: Simplify right side
    822.30x = 650,701.75
  5. Step 5: Solve for x
    x = 650,701.75/822.30
  6. Step 6: Final answer
    x = 791.32

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Double scale
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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.