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Finding the Fourth Proportional to 617.44, 925.35 and 472.45

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Solution

The fourth proportional to 617.44, 925.35 and 472.45 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 925.35 = 472.45 : x
  2. Step 2: Convert to fraction form
    617.44/925.35 = 472.45/x
  3. Step 3: Cross multiply
    617.44x = 925.35 × 472.45
  4. Step 4: Simplify right side
    617.44x = 437,181.61
  5. Step 5: Solve for x
    x = 437,181.61/617.44
  6. Step 6: Final answer
    x = 708.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.