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Finding the Fourth Proportional to 941.95, 1,409.64 and 719.20

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Solution

The fourth proportional to 941.95, 1,409.64 and 719.20 is: 1,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.95 : 1,409.64 = 719.20 : x
  2. Step 2: Convert to fraction form
    941.95/1,409.64 = 719.20/x
  3. Step 3: Cross multiply
    941.95x = 1,409.64 × 719.20
  4. Step 4: Simplify right side
    941.95x = 1,013,813.09
  5. Step 5: Solve for x
    x = 1,013,813.09/941.95
  6. Step 6: Final answer
    x = 1,076.29

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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.