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Finding the Fourth Proportional to 473.14, 708.49 and 289.98

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Solution

The fourth proportional to 473.14, 708.49 and 289.98 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.14 : 708.49 = 289.98 : x
  2. Step 2: Convert to fraction form
    473.14/708.49 = 289.98/x
  3. Step 3: Cross multiply
    473.14x = 708.49 × 289.98
  4. Step 4: Simplify right side
    473.14x = 205,442.94
  5. Step 5: Solve for x
    x = 205,442.94/473.14
  6. Step 6: Final answer
    x = 434.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.