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Finding the Fourth Proportional to 628.34, 937.87 and 536.36

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Solution

The fourth proportional to 628.34, 937.87 and 536.36 is: 800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 937.87 = 536.36 : x
  2. Step 2: Convert to fraction form
    628.34/937.87 = 536.36/x
  3. Step 3: Cross multiply
    628.34x = 937.87 × 536.36
  4. Step 4: Simplify right side
    628.34x = 503,035.95
  5. Step 5: Solve for x
    x = 503,035.95/628.34
  6. Step 6: Final answer
    x = 800.58

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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.