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Finding the Fourth Proportional to 536.92, 810.49 and 531.16

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Solution

The fourth proportional to 536.92, 810.49 and 531.16 is: 801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.92 : 810.49 = 531.16 : x
  2. Step 2: Convert to fraction form
    536.92/810.49 = 531.16/x
  3. Step 3: Cross multiply
    536.92x = 810.49 × 531.16
  4. Step 4: Simplify right side
    536.92x = 430,499.87
  5. Step 5: Solve for x
    x = 430,499.87/536.92
  6. Step 6: Final answer
    x = 801.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.