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Finding the Fourth Proportional to 567.16, 849.78 and 310.84

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Solution

The fourth proportional to 567.16, 849.78 and 310.84 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.16 : 849.78 = 310.84 : x
  2. Step 2: Convert to fraction form
    567.16/849.78 = 310.84/x
  3. Step 3: Cross multiply
    567.16x = 849.78 × 310.84
  4. Step 4: Simplify right side
    567.16x = 264,145.62
  5. Step 5: Solve for x
    x = 264,145.62/567.16
  6. Step 6: Final answer
    x = 465.73

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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.