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Finding the Fourth Proportional to 477.03, 713.39 and 471.09

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Solution

The fourth proportional to 477.03, 713.39 and 471.09 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.03 : 713.39 = 471.09 : x
  2. Step 2: Convert to fraction form
    477.03/713.39 = 471.09/x
  3. Step 3: Cross multiply
    477.03x = 713.39 × 471.09
  4. Step 4: Simplify right side
    477.03x = 336,068.54
  5. Step 5: Solve for x
    x = 336,068.54/477.03
  6. Step 6: Final answer
    x = 704.50

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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.