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Finding the Fourth Proportional to 572.50, 852.20 and 545.96

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Solution

The fourth proportional to 572.50, 852.20 and 545.96 is: 812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.50 : 852.20 = 545.96 : x
  2. Step 2: Convert to fraction form
    572.50/852.20 = 545.96/x
  3. Step 3: Cross multiply
    572.50x = 852.20 × 545.96
  4. Step 4: Simplify right side
    572.50x = 465,267.11
  5. Step 5: Solve for x
    x = 465,267.11/572.50
  6. Step 6: Final answer
    x = 812.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.