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Finding the Fourth Proportional to 569.67, 855.41 and 430.85

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Solution

The fourth proportional to 569.67, 855.41 and 430.85 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.67 : 855.41 = 430.85 : x
  2. Step 2: Convert to fraction form
    569.67/855.41 = 430.85/x
  3. Step 3: Cross multiply
    569.67x = 855.41 × 430.85
  4. Step 4: Simplify right side
    569.67x = 368,553.40
  5. Step 5: Solve for x
    x = 368,553.40/569.67
  6. Step 6: Final answer
    x = 646.96

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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.