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Finding the Fourth Proportional to 591.36, 816.36 and 417.12

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Solution

The fourth proportional to 591.36, 816.36 and 417.12 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.36 : 816.36 = 417.12 : x
  2. Step 2: Convert to fraction form
    591.36/816.36 = 417.12/x
  3. Step 3: Cross multiply
    591.36x = 816.36 × 417.12
  4. Step 4: Simplify right side
    591.36x = 340,520.08
  5. Step 5: Solve for x
    x = 340,520.08/591.36
  6. Step 6: Final answer
    x = 575.83

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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.