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Finding the Fourth Proportional to 939.23, 1,409.30 and 452.32

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Solution

The fourth proportional to 939.23, 1,409.30 and 452.32 is: 678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.23 : 1,409.30 = 452.32 : x
  2. Step 2: Convert to fraction form
    939.23/1,409.30 = 452.32/x
  3. Step 3: Cross multiply
    939.23x = 1,409.30 × 452.32
  4. Step 4: Simplify right side
    939.23x = 637,450.49
  5. Step 5: Solve for x
    x = 637,450.49/939.23
  6. Step 6: Final answer
    x = 678.70

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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.