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Finding the Fourth Proportional to 536.11, 802.64 and 419.47

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Solution

The fourth proportional to 536.11, 802.64 and 419.47 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.11 : 802.64 = 419.47 : x
  2. Step 2: Convert to fraction form
    536.11/802.64 = 419.47/x
  3. Step 3: Cross multiply
    536.11x = 802.64 × 419.47
  4. Step 4: Simplify right side
    536.11x = 336,682.44
  5. Step 5: Solve for x
    x = 336,682.44/536.11
  6. Step 6: Final answer
    x = 628.01

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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.