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Finding the Fourth Proportional to 903.03, 1,354.72 and 513.21

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Solution

The fourth proportional to 903.03, 1,354.72 and 513.21 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.03 : 1,354.72 = 513.21 : x
  2. Step 2: Convert to fraction form
    903.03/1,354.72 = 513.21/x
  3. Step 3: Cross multiply
    903.03x = 1,354.72 × 513.21
  4. Step 4: Simplify right side
    903.03x = 695,255.85
  5. Step 5: Solve for x
    x = 695,255.85/903.03
  6. Step 6: Final answer
    x = 769.91

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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.