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Finding the Fourth Proportional to 567.79, 851.14 and 310.75

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Solution

The fourth proportional to 567.79, 851.14 and 310.75 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.79 : 851.14 = 310.75 : x
  2. Step 2: Convert to fraction form
    567.79/851.14 = 310.75/x
  3. Step 3: Cross multiply
    567.79x = 851.14 × 310.75
  4. Step 4: Simplify right side
    567.79x = 264,491.76
  5. Step 5: Solve for x
    x = 264,491.76/567.79
  6. Step 6: Final answer
    x = 465.83

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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.