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Finding the Fourth Proportional to 473.01, 708.48 and 289.85

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Solution

The fourth proportional to 473.01, 708.48 and 289.85 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.01 : 708.48 = 289.85 : x
  2. Step 2: Convert to fraction form
    473.01/708.48 = 289.85/x
  3. Step 3: Cross multiply
    473.01x = 708.48 × 289.85
  4. Step 4: Simplify right side
    473.01x = 205,352.93
  5. Step 5: Solve for x
    x = 205,352.93/473.01
  6. Step 6: Final answer
    x = 434.14

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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.