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Finding the Fourth Proportional to 617.23, 852.26 and 461.64

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Solution

The fourth proportional to 617.23, 852.26 and 461.64 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.23 : 852.26 = 461.64 : x
  2. Step 2: Convert to fraction form
    617.23/852.26 = 461.64/x
  3. Step 3: Cross multiply
    617.23x = 852.26 × 461.64
  4. Step 4: Simplify right side
    617.23x = 393,437.31
  5. Step 5: Solve for x
    x = 393,437.31/617.23
  6. Step 6: Final answer
    x = 637.42

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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.