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Finding the Fourth Proportional to 567.45, 855.09 and 472.05

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Solution

The fourth proportional to 567.45, 855.09 and 472.05 is: 711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 855.09 = 472.05 : x
  2. Step 2: Convert to fraction form
    567.45/855.09 = 472.05/x
  3. Step 3: Cross multiply
    567.45x = 855.09 × 472.05
  4. Step 4: Simplify right side
    567.45x = 403,645.23
  5. Step 5: Solve for x
    x = 403,645.23/567.45
  6. Step 6: Final answer
    x = 711.33

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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.