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Finding the Fourth Proportional to 900.75, 1,351.65 and 380.72

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Solution

The fourth proportional to 900.75, 1,351.65 and 380.72 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.75 : 1,351.65 = 380.72 : x
  2. Step 2: Convert to fraction form
    900.75/1,351.65 = 380.72/x
  3. Step 3: Cross multiply
    900.75x = 1,351.65 × 380.72
  4. Step 4: Simplify right side
    900.75x = 514,600.19
  5. Step 5: Solve for x
    x = 514,600.19/900.75
  6. Step 6: Final answer
    x = 571.30

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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.