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Finding the Fourth Proportional to 470.48, 705.98 and 372.73

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Solution

The fourth proportional to 470.48, 705.98 and 372.73 is: 559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 705.98 = 372.73 : x
  2. Step 2: Convert to fraction form
    470.48/705.98 = 372.73/x
  3. Step 3: Cross multiply
    470.48x = 705.98 × 372.73
  4. Step 4: Simplify right side
    470.48x = 263,139.93
  5. Step 5: Solve for x
    x = 263,139.93/470.48
  6. Step 6: Final answer
    x = 559.30

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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.