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Finding the Fourth Proportional to 508.10, 704.09 and 477.28

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Solution

The fourth proportional to 508.10, 704.09 and 477.28 is: 661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 704.09 = 477.28 : x
  2. Step 2: Convert to fraction form
    508.10/704.09 = 477.28/x
  3. Step 3: Cross multiply
    508.10x = 704.09 × 477.28
  4. Step 4: Simplify right side
    508.10x = 336,048.08
  5. Step 5: Solve for x
    x = 336,048.08/508.10
  6. Step 6: Final answer
    x = 661.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.