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Finding the Fourth Proportional to 470.56, 705.91 and 287.70

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Solution

The fourth proportional to 470.56, 705.91 and 287.70 is: 431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 705.91 = 287.70 : x
  2. Step 2: Convert to fraction form
    470.56/705.91 = 287.70/x
  3. Step 3: Cross multiply
    470.56x = 705.91 × 287.70
  4. Step 4: Simplify right side
    470.56x = 203,085.34
  5. Step 5: Solve for x
    x = 203,085.34/470.56
  6. Step 6: Final answer
    x = 431.59

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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.