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Finding the Fourth Proportional to 591.18, 816.12 and 416.22

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Solution

The fourth proportional to 591.18, 816.12 and 416.22 is: 574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.18 : 816.12 = 416.22 : x
  2. Step 2: Convert to fraction form
    591.18/816.12 = 416.22/x
  3. Step 3: Cross multiply
    591.18x = 816.12 × 416.22
  4. Step 4: Simplify right side
    591.18x = 339,685.47
  5. Step 5: Solve for x
    x = 339,685.47/591.18
  6. Step 6: Final answer
    x = 574.59

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1.5x scale

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.