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Finding the Fourth Proportional to 505.26, 696.06 and 416.16

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Solution

The fourth proportional to 505.26, 696.06 and 416.16 is: 573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 696.06 = 416.16 : x
  2. Step 2: Convert to fraction form
    505.26/696.06 = 416.16/x
  3. Step 3: Cross multiply
    505.26x = 696.06 × 416.16
  4. Step 4: Simplify right side
    505.26x = 289,672.33
  5. Step 5: Solve for x
    x = 289,672.33/505.26
  6. Step 6: Final answer
    x = 573.31

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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.