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Finding the Fourth Proportional to 617.52, 852.57 and 459.98

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Solution

The fourth proportional to 617.52, 852.57 and 459.98 is: 635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.52 : 852.57 = 459.98 : x
  2. Step 2: Convert to fraction form
    617.52/852.57 = 459.98/x
  3. Step 3: Cross multiply
    617.52x = 852.57 × 459.98
  4. Step 4: Simplify right side
    617.52x = 392,164.08
  5. Step 5: Solve for x
    x = 392,164.08/617.52
  6. Step 6: Final answer
    x = 635.06

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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.