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Finding the Fourth Proportional to 470.25, 705.37 and 285.20

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Solution

The fourth proportional to 470.25, 705.37 and 285.20 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.25 : 705.37 = 285.20 : x
  2. Step 2: Convert to fraction form
    470.25/705.37 = 285.20/x
  3. Step 3: Cross multiply
    470.25x = 705.37 × 285.20
  4. Step 4: Simplify right side
    470.25x = 201,171.52
  5. Step 5: Solve for x
    x = 201,171.52/470.25
  6. Step 6: Final answer
    x = 427.80

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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.