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Finding the Fourth Proportional to 536.57, 802.21 and 455.21

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Solution

The fourth proportional to 536.57, 802.21 and 455.21 is: 680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.57 : 802.21 = 455.21 : x
  2. Step 2: Convert to fraction form
    536.57/802.21 = 455.21/x
  3. Step 3: Cross multiply
    536.57x = 802.21 × 455.21
  4. Step 4: Simplify right side
    536.57x = 365,174.01
  5. Step 5: Solve for x
    x = 365,174.01/536.57
  6. Step 6: Final answer
    x = 680.57

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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.