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Finding the Fourth Proportional to 617.98, 852.52 and 407.88

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Solution

The fourth proportional to 617.98, 852.52 and 407.88 is: 562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.98 : 852.52 = 407.88 : x
  2. Step 2: Convert to fraction form
    617.98/852.52 = 407.88/x
  3. Step 3: Cross multiply
    617.98x = 852.52 × 407.88
  4. Step 4: Simplify right side
    617.98x = 347,725.86
  5. Step 5: Solve for x
    x = 347,725.86/617.98
  6. Step 6: Final answer
    x = 562.68

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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.