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Finding the Fourth Proportional to 900.20, 1,349.88 and 628.04

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Solution

The fourth proportional to 900.20, 1,349.88 and 628.04 is: 941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.20 : 1,349.88 = 628.04 : x
  2. Step 2: Convert to fraction form
    900.20/1,349.88 = 628.04/x
  3. Step 3: Cross multiply
    900.20x = 1,349.88 × 628.04
  4. Step 4: Simplify right side
    900.20x = 847,778.64
  5. Step 5: Solve for x
    x = 847,778.64/900.20
  6. Step 6: Final answer
    x = 941.77

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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.