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Finding the Fourth Proportional to 900.23, 1,350.53 and 380.23

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Solution

The fourth proportional to 900.23, 1,350.53 and 380.23 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.23 : 1,350.53 = 380.23 : x
  2. Step 2: Convert to fraction form
    900.23/1,350.53 = 380.23/x
  3. Step 3: Cross multiply
    900.23x = 1,350.53 × 380.23
  4. Step 4: Simplify right side
    900.23x = 513,512.02
  5. Step 5: Solve for x
    x = 513,512.02/900.23
  6. Step 6: Final answer
    x = 570.42

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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.