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Finding the Fourth Proportional to 536.96, 801.85 and 459.11

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Solution

The fourth proportional to 536.96, 801.85 and 459.11 is: 685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.96 : 801.85 = 459.11 : x
  2. Step 2: Convert to fraction form
    536.96/801.85 = 459.11/x
  3. Step 3: Cross multiply
    536.96x = 801.85 × 459.11
  4. Step 4: Simplify right side
    536.96x = 368,137.35
  5. Step 5: Solve for x
    x = 368,137.35/536.96
  6. Step 6: Final answer
    x = 685.60

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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.