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Finding the Fourth Proportional to 571.98, 858.78 and 545.88

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Solution

The fourth proportional to 571.98, 858.78 and 545.88 is: 819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.98 : 858.78 = 545.88 : x
  2. Step 2: Convert to fraction form
    571.98/858.78 = 545.88/x
  3. Step 3: Cross multiply
    571.98x = 858.78 × 545.88
  4. Step 4: Simplify right side
    571.98x = 468,790.83
  5. Step 5: Solve for x
    x = 468,790.83/571.98
  6. Step 6: Final answer
    x = 819.59

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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.