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Finding the Fourth Proportional to 924.64, 1,273.84 and 644.37

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Solution

The fourth proportional to 924.64, 1,273.84 and 644.37 is: 887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.64 : 1,273.84 = 644.37 : x
  2. Step 2: Convert to fraction form
    924.64/1,273.84 = 644.37/x
  3. Step 3: Cross multiply
    924.64x = 1,273.84 × 644.37
  4. Step 4: Simplify right side
    924.64x = 820,817.48
  5. Step 5: Solve for x
    x = 820,817.48/924.64
  6. Step 6: Final answer
    x = 887.71

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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.