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Finding the Fourth Proportional to 567.77, 783.45 and 331.67

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Solution

The fourth proportional to 567.77, 783.45 and 331.67 is: 457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.77 : 783.45 = 331.67 : x
  2. Step 2: Convert to fraction form
    567.77/783.45 = 331.67/x
  3. Step 3: Cross multiply
    567.77x = 783.45 × 331.67
  4. Step 4: Simplify right side
    567.77x = 259,842.94
  5. Step 5: Solve for x
    x = 259,842.94/567.77
  6. Step 6: Final answer
    x = 457.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.