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Finding the Fourth Proportional to 572.55, 785.73 and 536.10

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Solution

The fourth proportional to 572.55, 785.73 and 536.10 is: 735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.55 : 785.73 = 536.10 : x
  2. Step 2: Convert to fraction form
    572.55/785.73 = 536.10/x
  3. Step 3: Cross multiply
    572.55x = 785.73 × 536.10
  4. Step 4: Simplify right side
    572.55x = 421,229.85
  5. Step 5: Solve for x
    x = 421,229.85/572.55
  6. Step 6: Final answer
    x = 735.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.