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Finding the Fourth Proportional to 617.46, 852.28 and 460.24

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Solution

The fourth proportional to 617.46, 852.28 and 460.24 is: 635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 852.28 = 460.24 : x
  2. Step 2: Convert to fraction form
    617.46/852.28 = 460.24/x
  3. Step 3: Cross multiply
    617.46x = 852.28 × 460.24
  4. Step 4: Simplify right side
    617.46x = 392,253.35
  5. Step 5: Solve for x
    x = 392,253.35/617.46
  6. Step 6: Final answer
    x = 635.27

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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.