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Finding the Fourth Proportional to 669.52, 998.49 and 572.64

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Solution

The fourth proportional to 669.52, 998.49 and 572.64 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.52 : 998.49 = 572.64 : x
  2. Step 2: Convert to fraction form
    669.52/998.49 = 572.64/x
  3. Step 3: Cross multiply
    669.52x = 998.49 × 572.64
  4. Step 4: Simplify right side
    669.52x = 571,775.31
  5. Step 5: Solve for x
    x = 571,775.31/669.52
  6. Step 6: Final answer
    x = 854.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.