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Finding the Fourth Proportional to 567.35, 851.28 and 275.13

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Solution

The fourth proportional to 567.35, 851.28 and 275.13 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.35 : 851.28 = 275.13 : x
  2. Step 2: Convert to fraction form
    567.35/851.28 = 275.13/x
  3. Step 3: Cross multiply
    567.35x = 851.28 × 275.13
  4. Step 4: Simplify right side
    567.35x = 234,216.38
  5. Step 5: Solve for x
    x = 234,216.38/567.35
  6. Step 6: Final answer
    x = 412.82

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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.