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Finding the Fourth Proportional to 536.14, 807.05 and 383.14

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Solution

The fourth proportional to 536.14, 807.05 and 383.14 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 807.05 = 383.14 : x
  2. Step 2: Convert to fraction form
    536.14/807.05 = 383.14/x
  3. Step 3: Cross multiply
    536.14x = 807.05 × 383.14
  4. Step 4: Simplify right side
    536.14x = 309,213.14
  5. Step 5: Solve for x
    x = 309,213.14/536.14
  6. Step 6: Final answer
    x = 576.74

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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.