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Finding the Fourth Proportional to 941.44, 1,411.68 and 428

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Solution

The fourth proportional to 941.44, 1,411.68 and 428 is: 641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.44 : 1,411.68 = 428 : x
  2. Step 2: Convert to fraction form
    941.44/1,411.68 = 428/x
  3. Step 3: Cross multiply
    941.44x = 1,411.68 × 428
  4. Step 4: Simplify right side
    941.44x = 604,199.04
  5. Step 5: Solve for x
    x = 604,199.04/941.44
  6. Step 6: Final answer
    x = 641.78

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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.