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Finding the Fourth Proportional to 473.02, 708.49 and 369.49

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Solution

The fourth proportional to 473.02, 708.49 and 369.49 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.02 : 708.49 = 369.49 : x
  2. Step 2: Convert to fraction form
    473.02/708.49 = 369.49/x
  3. Step 3: Cross multiply
    473.02x = 708.49 × 369.49
  4. Step 4: Simplify right side
    473.02x = 261,779.97
  5. Step 5: Solve for x
    x = 261,779.97/473.02
  6. Step 6: Final answer
    x = 553.42

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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.