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Finding the Fourth Proportional to 536.68, 803.19 and 415.48

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Solution

The fourth proportional to 536.68, 803.19 and 415.48 is: 621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 803.19 = 415.48 : x
  2. Step 2: Convert to fraction form
    536.68/803.19 = 415.48/x
  3. Step 3: Cross multiply
    536.68x = 803.19 × 415.48
  4. Step 4: Simplify right side
    536.68x = 333,709.38
  5. Step 5: Solve for x
    x = 333,709.38/536.68
  6. Step 6: Final answer
    x = 621.80

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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.