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Finding the Fourth Proportional to 567.77, 849.98 and 431.34

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Solution

The fourth proportional to 567.77, 849.98 and 431.34 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.77 : 849.98 = 431.34 : x
  2. Step 2: Convert to fraction form
    567.77/849.98 = 431.34/x
  3. Step 3: Cross multiply
    567.77x = 849.98 × 431.34
  4. Step 4: Simplify right side
    567.77x = 366,628.22
  5. Step 5: Solve for x
    x = 366,628.22/567.77
  6. Step 6: Final answer
    x = 645.74

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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.