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Finding the Fourth Proportional to 511.33, 704.68 and 417.77

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Solution

The fourth proportional to 511.33, 704.68 and 417.77 is: 575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.33 : 704.68 = 417.77 : x
  2. Step 2: Convert to fraction form
    511.33/704.68 = 417.77/x
  3. Step 3: Cross multiply
    511.33x = 704.68 × 417.77
  4. Step 4: Simplify right side
    511.33x = 294,398.55
  5. Step 5: Solve for x
    x = 294,398.55/511.33
  6. Step 6: Final answer
    x = 575.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.