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Finding the Fourth Proportional to 567.77, 851.00 and 275.42

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Solution

The fourth proportional to 567.77, 851.00 and 275.42 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.77 : 851.00 = 275.42 : x
  2. Step 2: Convert to fraction form
    567.77/851.00 = 275.42/x
  3. Step 3: Cross multiply
    567.77x = 851.00 × 275.42
  4. Step 4: Simplify right side
    567.77x = 234,376.79
  5. Step 5: Solve for x
    x = 234,376.79/567.77
  6. Step 6: Final answer
    x = 412.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.