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Finding the Fourth Proportional to 470.82, 709.06 and 429.30

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Solution

The fourth proportional to 470.82, 709.06 and 429.30 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 709.06 = 429.30 : x
  2. Step 2: Convert to fraction form
    470.82/709.06 = 429.30/x
  3. Step 3: Cross multiply
    470.82x = 709.06 × 429.30
  4. Step 4: Simplify right side
    470.82x = 304,399.46
  5. Step 5: Solve for x
    x = 304,399.46/470.82
  6. Step 6: Final answer
    x = 646.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.