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Finding the Fourth Proportional to 591, 816.31 and 417.12

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Solution

The fourth proportional to 591, 816.31 and 417.12 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 816.31 = 417.12 : x
  2. Step 2: Convert to fraction form
    591/816.31 = 417.12/x
  3. Step 3: Cross multiply
    591x = 816.31 × 417.12
  4. Step 4: Simplify right side
    591x = 340,499.23
  5. Step 5: Solve for x
    x = 340,499.23/591
  6. Step 6: Final answer
    x = 576.14

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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.