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Finding the Fourth Proportional to 470.73, 707.72 and 435.09

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Solution

The fourth proportional to 470.73, 707.72 and 435.09 is: 654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 707.72 = 435.09 : x
  2. Step 2: Convert to fraction form
    470.73/707.72 = 435.09/x
  3. Step 3: Cross multiply
    470.73x = 707.72 × 435.09
  4. Step 4: Simplify right side
    470.73x = 307,919.72
  5. Step 5: Solve for x
    x = 307,919.72/470.73
  6. Step 6: Final answer
    x = 654.13

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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.