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Finding the Fourth Proportional to 1,384.42, 1,909.50 and 941.53

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Solution

The fourth proportional to 1,384.42, 1,909.50 and 941.53 is: 1,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.42 : 1,909.50 = 941.53 : x
  2. Step 2: Convert to fraction form
    1,384.42/1,909.50 = 941.53/x
  3. Step 3: Cross multiply
    1,384.42x = 1,909.50 × 941.53
  4. Step 4: Simplify right side
    1,384.42x = 1,797,851.54
  5. Step 5: Solve for x
    x = 1,797,851.54/1,384.42
  6. Step 6: Final answer
    x = 1,298.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.