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Finding the Fourth Proportional to 669.28, 924.24 and 633.04

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Solution

The fourth proportional to 669.28, 924.24 and 633.04 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.28 : 924.24 = 633.04 : x
  2. Step 2: Convert to fraction form
    669.28/924.24 = 633.04/x
  3. Step 3: Cross multiply
    669.28x = 924.24 × 633.04
  4. Step 4: Simplify right side
    669.28x = 585,080.89
  5. Step 5: Solve for x
    x = 585,080.89/669.28
  6. Step 6: Final answer
    x = 874.19

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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.