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Finding the Fourth Proportional to 941.92, 1,299.80 and 522.32

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Solution

The fourth proportional to 941.92, 1,299.80 and 522.32 is: 720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.92 : 1,299.80 = 522.32 : x
  2. Step 2: Convert to fraction form
    941.92/1,299.80 = 522.32/x
  3. Step 3: Cross multiply
    941.92x = 1,299.80 × 522.32
  4. Step 4: Simplify right side
    941.92x = 678,911.54
  5. Step 5: Solve for x
    x = 678,911.54/941.92
  6. Step 6: Final answer
    x = 720.77

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Why These Related Problems?

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