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Finding the Fourth Proportional to 470.71, 704.42 and 285.50

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Solution

The fourth proportional to 470.71, 704.42 and 285.50 is: 427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.71 : 704.42 = 285.50 : x
  2. Step 2: Convert to fraction form
    470.71/704.42 = 285.50/x
  3. Step 3: Cross multiply
    470.71x = 704.42 × 285.50
  4. Step 4: Simplify right side
    470.71x = 201,114.38
  5. Step 5: Solve for x
    x = 201,114.38/470.71
  6. Step 6: Final answer
    x = 427.26

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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.