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Finding the Fourth Proportional to 567.82, 784.34 and 421.21

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Solution

The fourth proportional to 567.82, 784.34 and 421.21 is: 581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.82 : 784.34 = 421.21 : x
  2. Step 2: Convert to fraction form
    567.82/784.34 = 421.21/x
  3. Step 3: Cross multiply
    567.82x = 784.34 × 421.21
  4. Step 4: Simplify right side
    567.82x = 330,370.94
  5. Step 5: Solve for x
    x = 330,370.94/567.82
  6. Step 6: Final answer
    x = 581.83

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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.