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Finding the Fourth Proportional to 567.70, 854.62 and 406.51

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Solution

The fourth proportional to 567.70, 854.62 and 406.51 is: 611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.70 : 854.62 = 406.51 : x
  2. Step 2: Convert to fraction form
    567.70/854.62 = 406.51/x
  3. Step 3: Cross multiply
    567.70x = 854.62 × 406.51
  4. Step 4: Simplify right side
    567.70x = 347,408.42
  5. Step 5: Solve for x
    x = 347,408.42/567.70
  6. Step 6: Final answer
    x = 611.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.