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Finding the Fourth Proportional to 473.71, 710.01 and 419.71

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Solution

The fourth proportional to 473.71, 710.01 and 419.71 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.71 : 710.01 = 419.71 : x
  2. Step 2: Convert to fraction form
    473.71/710.01 = 419.71/x
  3. Step 3: Cross multiply
    473.71x = 710.01 × 419.71
  4. Step 4: Simplify right side
    473.71x = 297,998.30
  5. Step 5: Solve for x
    x = 297,998.30/473.71
  6. Step 6: Final answer
    x = 629.07

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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.