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Finding the Fourth Proportional to 567.68, 851.24 and 259.61

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Solution

The fourth proportional to 567.68, 851.24 and 259.61 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.68 : 851.24 = 259.61 : x
  2. Step 2: Convert to fraction form
    567.68/851.24 = 259.61/x
  3. Step 3: Cross multiply
    567.68x = 851.24 × 259.61
  4. Step 4: Simplify right side
    567.68x = 220,986.81
  5. Step 5: Solve for x
    x = 220,986.81/567.68
  6. Step 6: Final answer
    x = 389.28

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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.