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Finding the Fourth Proportional to 920.75, 1,271.12 and 571.64

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Solution

The fourth proportional to 920.75, 1,271.12 and 571.64 is: 789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.75 : 1,271.12 = 571.64 : x
  2. Step 2: Convert to fraction form
    920.75/1,271.12 = 571.64/x
  3. Step 3: Cross multiply
    920.75x = 1,271.12 × 571.64
  4. Step 4: Simplify right side
    920.75x = 726,613.82
  5. Step 5: Solve for x
    x = 726,613.82/920.75
  6. Step 6: Final answer
    x = 789.16

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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.