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Finding the Fourth Proportional to 903.69, 1,353.10 and 513.11

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Solution

The fourth proportional to 903.69, 1,353.10 and 513.11 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,353.10 = 513.11 : x
  2. Step 2: Convert to fraction form
    903.69/1,353.10 = 513.11/x
  3. Step 3: Cross multiply
    903.69x = 1,353.10 × 513.11
  4. Step 4: Simplify right side
    903.69x = 694,289.14
  5. Step 5: Solve for x
    x = 694,289.14/903.69
  6. Step 6: Final answer
    x = 768.28

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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.