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Finding the Fourth Proportional to 901.42, 1,350.50 and 380.49

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Solution

The fourth proportional to 901.42, 1,350.50 and 380.49 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.42 : 1,350.50 = 380.49 : x
  2. Step 2: Convert to fraction form
    901.42/1,350.50 = 380.49/x
  3. Step 3: Cross multiply
    901.42x = 1,350.50 × 380.49
  4. Step 4: Simplify right side
    901.42x = 513,851.75
  5. Step 5: Solve for x
    x = 513,851.75/901.42
  6. Step 6: Final answer
    x = 570.05

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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.